
which three statements are true? a) if x= 10^4 then log 10 = 4 b)if x= 2^8 then log 2x = 8 c) log2 2= 4 d) if x= 3 then log10 3=x e) log 10 2562log 10 a/log 10 b f)log 10 (ab)= log 10 a/log 10 b g) the gradient of the graph of y= 2x^x at x= 2 is 2e^e

which three statements are true? a) if x= 10^4 then log 10 = 4 b)if x= 2^8 then log 2x = 8 c) log2 2= 4 d) if x= 3 then log10 3=x e) log 10 2562log 10 a/log 10 b f)log 10 (ab)= log 10 a/log 10 b g) the gradient of the graph of y= 2x^x at x= 2 is 2e^e

which three statements are true? a) if x= 10^4 then log 10 = 4 b)if x= 2^8 then log 2x = 8 c) log2 2= 4 d) if x= 3 then log10 3=x e) log 10 2562log 10 a/log 10 b f)log 10 (ab)= log 10 a/log 10 b g) the gradient of the graph of y= 2x^x at x= 2 is 2e^e

which three statements are true? a) if x= 10^4 then log 10 = 4 b)if x= 2^8 then log 2x = 8 c) log2 2= 4 d) if x= 3 then log10 3=x e) log 10 2562log 10 a/log 10 b f)log 10 (ab)= log 10 a/log 10 b g) the gradient of the graph of y= 2x^x at x= 2 is 2e^e

Logarithm!!! Select all of the following that are true statements: (a) log(2x) = log(2) + log(x) (b) log(3x) = 3 log(x) (c) log(12y) = 2 log(2) + log(3y) (d) log(5y) = log(20y) – log(4) (e) log(x) = log(5x) – log(5) (f) ln(25) = 2ln(5) (g) ln(1) =


which 3 are correct a) if x= 10^4 then log10 x = 4 b)if x= 2^8 then log 2x = 8 c) log2 2= 4 d) if x= 3 then log10 3=x e) log 10 2562log 10 16=0 f)log 10 (ab)= log 10 a/log 10 b g) the gradient of the graph of y= 2e^x at x= 2 is 2e^2 h) the gradient of

Prove that log a, log ar, log ar^2 is an a.p. Is the following below correct? Log ar^2  Log ar= Log ar  Log a hence applying laws of logarithm Log(ar^2/ar) = log(ar/a) Log and log cancels out and then crossmultiply hence a^2r^2 = a^2r^2 L.H.S=R.H.S

Are all statements that are true. (a) log(A)/log(B)=In(A)/In(B) (b) In log[b](N), the exponent is N. (c)If 2log[3](81)=8, then log[3](6.561)=8 (d)log[b](N) negative when N is negative. (e)In(x/2)=In(x)/2

Are all statements that are true. (a) log(A)/log(B)=In(A)/In(B) (b) In log[b](N), the exponent is N. (c)If 2log[3](81)=8, then log[3](6.561)=8 (d)log[b](N) negative when N is negative. (e)In(x/2)=In(x)/2

Hi, Can anyone tell me if the following are correct please: If x = 10y (where x > 0), then log10 x = y if a and b are positive numbers, then, 2 log 10 a / b = 2log 10 a  2 log 10 b and lastly if a and b are positive numbers, then, log 10 ( a+b ) = 10

solve log(7x3)+2log(5)=2+log(x+3) I've attempted to do this question and I ended up with log(73)+log(5^2)log(x+3)=2 but I don't what to do next or whether I did something wrong.

1. Evaluate 4^(log base4 64) + 10^(log100) 2. Write 1+log(base2)x^3 as a single logarithm 3. Write log(base b)√(x^3 y z^6) 4. Solve log(base 2)xlog(base 2)6=log(base 2)5+2log(base 2)3 5. Solve 3^(2x) = 9(81^x) 6. Solve 3^(2x)=7^(3x1). Round answer

how do not understand how to do this Log X + Lob (X3) = 1 I know I do this Log X(X3)=1 then I do this Log X^(2)  3X = 1 then I do this 2 Log (X3X) = 1 then 2 Log (2X) = 1 then (2 Log (2X) = 1)(1/2) Log (2X) = 1/2 then (Log (2X) = 1/2)(1/2) Log X =

write as a single logarithm: 2logbase3(1/x)+(1/3)logbase3(square root of x) please show the steps to solving this. thanx. remember that 1 log (AxB) = log A + Log B (same base) 2 log (A/B) = log A  log B 3 log A^n = n log A use these three rules and it

HI THE QUESTION STATES THAT ONE SHOULD CALCULATE THE LOGS WITHOUT THE USE OF A CALCULATOR...OKAY MY PROBLEM IS THIS... 2 3 2log 8 + 2log 8 what should i do? i had come to the piont of... 4 5 log 8 + log 8 But what's to do now i don't know..Think u can


I have more answers that I would like checked. Also, there is one that I'm really confused about. I appreciate any help. :) Rewrite as the log of a single number. 1) 8 ln 2 = ln(2^8) 2) log 42  log 6 = log 36 (I think this one may be wrong). Evalute each

Which of the following expressions is equal to log (x sqrty)/z^5 A. log x + log (1/2) + log y– log 5 – log z B. log [x + (1/2)y – 5z] C. log x + (1/2)log y – 5 log z d. [(1/2) log x log y]/(5 log z)

The definition of pH is: pH = log 10[H^+] what is the defintion of the [OH^]... is it pOH = log 10[OH^]? Yes!! pH =  log10 anything. pKa = log Ka Pkb = log Kb pKw = log Kw = 14 PKsp = log Ksp (solubility product) and so on into the night.

This is a logs question If u=x/y^2, which expression is equivalent to log u? 1) log x + 2 log y 2) 2(log x log y) 3) 2(log x + log y) 4) log x 2 log y

I don't understand how to do these w/o calc. I tried to write it in a way that will make someone understand how to read it. Hope I typed it clear enough.Thanks so much for the help anyone! How to find the exact value of logarithm: 10. log5^100 log5^4 11.

Suppose you are told that log(2)=0.3562 and log(3)=0.5646. All of them with the base of 'a'. Find: i) log(6) ii) log(9) Solutions i) log(6)= log (3)(2) = log 3 + log 2 = 0.5646 + 0.3562 = 0.9208 ii)log(9)= log 3^2 = 2 log 3 = 2 (0.5646) = 1.1292

1) use the properties of logarithms to simplify the logarithmic expression. log base 10 (9/300) log  log 300 log 9 = 2 log 3 log 300 = log 3 + log 100 = log 3+2 I just do not know how to put these together now!

Q1:solve log(5)xlog(25)(x+10) = 0.5 Q2:If 2log(a)x=1+log(a) (7x10a) ,find x in terms of a. Q3:Find x for which 27x3^lgx = 9^1+lg(x20) Q4:Find x in terms of a and c ,given that log(√ a)(1/x)+log(a)x +log(a^2) x +log (a^4)x=c

How would I write 12log(7)x as a single logarithm Choices: log(7) x^2/7 log(7) 7x^2 log(7) 7/x^2 log (7) x^2 Thank you

Log radical b/ a^2 is equivalent to 1) 1/2 log b + 1/2 log a 2) l/2 log b 2 log a 3) 2 log b  1/2 log a 4) 1/2logb/2 log a


Write expression as one logarithm and simplify if appropriate. log 3√x + log x^4  log x^3 4 log (x+3)  5 log (x^2+4) + 1/3 log y I have these who problems but I don't know where to start. HELP Please.

Suppose that u=log(2) and v=log(5). Find possible formulas for the following expressions in terms of u and/or v. Your answers should NOT involve any log's. a) log(0.4)= b) log(0.08)= c) log(2500)=

The problem 8^x = 16^x+2 the choices a)8 and b)8. Help please! Given that information I want to say the answer is 8 ? where is the 2. Use parentheses. Is it 16x+2 or 16x+2 The 2 is part of the exponent. Take the log of both sides. log 8x=log 16x+2 x*log

The expression log(x^n/ radical y)is equivalent to 1. n log x  1/2 log y 2. n log x 2 log y 3. log (nx)  log (1/2y) 4. log (nx)  log (2y)

How do you solve a system of logarithmic equations? They have completely different bases: {(log(25)^3)x + (log(2)^7)y = log(5)^27 {(log(7)^8)x + (log(3)^5)y = log(49)^2

i have problem i can't solve and the book is no help.. anyone got osme hints or somehting i could start off doing? the problem is... Solve for x: log(x^3)= (log x)^3 Rewrite it as 3 log x = (log x)^3 The use algebra (divide each side by log x) to get (log

What am I doing wrong? I keep getting 48 and its wrong... Solve 2log(x)log(4)=3log(4) 2log(x)log(4) log(x/4)=3log4 log(x/4)=log12 x=48

write as a single logarithm: ln(x/x1)+ ln(x+1/x) ln(x^21) please show me the steps. thanx Michelle, I hope you know the three main rules of logs. 1. log (AB) = log A + log B 2. log (A/B) = log A  log B 3 log A^n  n log A Using these rules and guessing

1. The sequence log2 32, log2 y, log2 128, ... forms an arithmetic sequence. What is the value of y? 2. If log a^2 b^3 = x and log (a/b) = y, what are the values of log a and log b?

Find the inverse of each relation: y = (0.5)^(x+2) and y = 3log base 2 (x3) + 2 For the first one I got y=log base 0.5 (x+2)...but the answer in the back of the textbook says that it is not x+2, but x2. Can someone tell me why it would end up being x2


solve for x without using a calculator 5^(x+1) = 25 i know that x would equal 1 because 5^2 is 25, but i don't know how to show how to solve it All you need to do is what you just did: Explain that if x = 1, the equation is satisfied. If you are looking

Given that x squared + y squared = 5xy,show that; (a) 2log(x+y\√7)=log x + log y. (b). Log ( x y\√3) = 1\2( log x + log y)

Solve: round to the thousandths if necessary! 1) 4^3/4x+5 = 12 2) log(x1) + log x = log 6 3) 2log(base 4) 5  log(base 4) x + log(base 4) 3  log(base 4) 7 = 1/2

How is the expression log 32  log 8 written as a single logarithm? log 4 log 8 log 24 log 40

How do I rewrite without logarithms?? 2. log x= log a  4 log b 3. ln t= 3/2 ln a  ln p 4. log y = 3 log x + log 17

This is an outline that i have to use to find the solution of the question. It involves logarithms and halfangle formulas.I have worked though it but got stuck on some parts. I'd like if you look over my work. solve the triangle for which given parts are

Explain the difference between log base b (mn) and ( log base b of m)(log base b of n). Are they equivalent? My answer: Let b=2, m=8, n=16 *log base b (mn)=log base b of m + log base b of n log base 2 of 8+ log base 2 of 16=7 * (log base b of m) (log base

1. Log10²x+log10x²=log10² 21 2. Log4(log2x)+log2(log4x)=2 3. X^logx+5/3= 10^5+log x 4. Log 1/2(x1)+ log 1/2(x+1)log1/√2(7x)=1

This is an outline that i have to use to find the solution of the question. It involves logarithms and halfangle formulas.I have worked though it but got stuck on some parts. I'd like if you look over my work. solve the triangle for which given parts are

Write y = 10^(x) as a logarithmic function Choices are log(x)10 = y log(y)x = 10 log(10)y = x log(x)y = 10 I think it is log (10)y = x


h(x) = log (6x+5/7x4) Find a formula for the inverse function h^1(x) h^1(x) = My work so far h(x) = log(6x+5/7x4) y=log(6x+5/7x4) x=log(6y+5/7y4) 7xy4x= log(6y+5) how would I solve from here. Would I solve for y then do the natural log of both sides

log(base2)xlog(base2)6= log(base2)5+ 2log(base2)3 log(x/6)=3log15 (x/6)=15^3 6*(x/6)=15^3*6 x=15^3*6 =20,250 Answer is 270.... What did I do wrong...

given that log2 3 = x, log 2 5=y and log 2 7 = z, express log 2 21 in terms of x,y, and z the 2 is the base

given that log(6)/log(a) = p and log(108)/log(a) = q , express log(3)/log(a) in terms of p and q

My question says: Find the exact alue of x for which (4^x)*(5^[4x+3])=(10^[2x+3]) I can't seem to come to a solution. We're reviewing last year's lessons, so change of base and logarithmic expressions are what we're going over right now. Here's what I've

logarithms Solve the following equations 3^x2=6 Add 2 to both sides of the equation to start. Whatever operation you do to one side of an equation you must do to the other side as well. 3^x  2 + 2 = 6 + 2 3^x = 8 Changing to logs: log 3^x = log 8 x log 3

please check my answers. Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. ln sqrt x+6 = 9 i got {e^96} log (x + 4) = log (5x  5) i got: 9/4 log (x + 30)

Given: f(x)=log 5 x what is the value of f(125) and f(1/25)? Totally lost! I assume you mean f(x) = log (5x), not log 5 * x. If this is the case, then f(125) = log 600 and f(1/25) = log (1/5) If the base of the logs is 10, then log 600 = 2.778..

Are the answers to these correct? Use log(base12)3= 0.4421 and log(base12)7= 0.7831. log(base12)36 = log(base12)3^2*4= 4.8842 log(base12)27/49 = 0.2399 log(base12)81/49 = 0.2022 log(base12)16,807 = 3.9155 (16,807= 7^5) log(base12)441 = 2.4504 (441=

This is an outline that i have to use to find the solution of the question. It involves logarithms and halfangle formulas.I have worked though it but got stuck on some parts. I'd like if you look over my work. solve the triangle for which given parts are


I'm studying for my precalc exam and have completed 42 practice problems. I have 3 I need to answer that I can't. Please help. What is the base of the function G(x) = log subscript b x if it's graph has points (16,4)? Using the properties of logarithms how

mathematically Evaluate without using tables 2 log base 10 raised 2 power 5 + log base 10 36  log base10 9 that is, 2log10 5 +log 10 36  log 10 9

Can you please help me with the following log. problems? thanxs! Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. 7^x = 6^(x + 7) this is how far I got: x log 7/x log 7=

1. 1/3log base 8 of (x+1)=2log base 8 of 3(2/3)log base 8 of (x+1) 2. 2^x+8 times 2^=x all over 2 = 3 3. if log base a of 3= x and log base a of 2 = y, find each of thefollowing in terms of x and y log base a (18a^3) thanks!!

these are some problems i do not get any help is appreciated. These are copied exactly from the worksheet so i don't think i wrote anything wrong. Please explain it for me and could i get the answer thanks (: Log7 x= ½ log7 36 (log base 7) log x=2log 5+

How to solve Log (9x+5)  Log ((x^2)1) = 1/2 16 16 (The 16 is from the logarithmic function : b) (y=log x) b Could anyone post the answer to this? 16 is supposed to be next to Log(16) but lower. This is for both the Logs in the equation.

Use a linear approximation of f(x)=log(x) at x=1 to approximate log(3/4). Express your answer as an exact fraction; remember that log denotes the natural log.

y= 6x is written as: Choices y = log(6)x x = log(6)y I chose y = log(6)x, correct?I did the inverse so x = 6^x isolate y so it becomes y = log(6)x

Evaluate the given expressions (to two decimal places). log 1.69 =123 log 2^512 = .09 log 2^1 = 0 log o.o46 =1.34 Thank you

true or false: log (xy) = log (x)  log(y) I don't know the the first part, but looking at the second part, wouldn't log (x)  log (y) = log x/y so based on that the first part is false?


y= 6x is written as: Choices y = log(6)x x = log(6)y I chose y = log(6)x, correct?I did the inverse so x = 6^x isolate y so it becomes y = log(6)x

Express x in terms of a,b and c. log x = 1/2 (log a + log b  log c) Please solve and explain how to do this type of problem, thank you!

Calculate without using tables or calculators log 450 and log 324 given log 2 =0.3010 and log 3 =0.4771

Use change of base to rewrite the expression, log5 16 When I solved this, I got log10 16 / log10 5 But when checking it on mathway I got log 16 / log 5 Could someone explain this?

What is the base of the function F(x) = b to the power of x if the graph has points of (1/3, 2)and another off the subject one if g(x)= log 7 x what is g(1/49)? If F(x) = 2 when x = 1/3, and if the fucntio is of the form F(x) = b^x, then 2 = b^(1/3) Cube

1. evaluate log(base2)[(1/32) X 4^9] 2. simplify: log x^2 y  (1/2)logx + 3 log y

Combine into one log: log √ x + 1 + 9 log x i.e. rewrite as an expression of the form log u, where u is a function of x.

log(base 10)(x+5)+2log(base10) log(base10)(x+5(10 to the 2nd power) log(base10)(100x+500) I love you china.

The problem I have to solve is log with base 2 ^6 multiply by log base 6 ^ 8. I use the change of base formula and got log6/log2 * log8/log6 Which become log6/log2 * log2()^3/ log 6 I'm stuck here thanks.

Please, can someone help? Evaluate log 1. This is my work up until I have gotten stuck: log 1 1=10^x I can't find a common base for 1 and 10^x. Wow, my apologies, this is algebra, not chemistry. but actually I think they use it in chemistry too... Take the


state the values of x for which the following identiy is true log(x+2) + log(x+3) = log(x^2+5x+6) a) x> 2 b) x> 3 Why is the answer a and not b? If it was b, then it would include 2

prove: 1/log(base36)a = 2/log(base6)a i made a common base and then multiplied both sides with log(base6)a to get 2=log(base6)a/log(base6^2)a but this is as far as i can figure.

1. If (x, y) is on the graph f(x) = log(base10)x, state the coordinates (in terms of x and y) that would be on the graph of f(x) = 2log(base10)(x  4) + 3? 2. Estimate the value of log(base 3)91 Can you please explain how you arrive at the answer since I

log base b 64  log base b 16 = log base 4 16 solve for the variable.. i got to the part as far as: (log 4/log b) = 2 now i m stuck at how i can isolate the b. plz help!

PLEASE HELP ME WITH THESE QUESTION AS MUCH AS POSSIBLE!! Evaluate without a calculator. Give exact answers: a) log(log(10)) = ? b) square root (log(100))  log(square root(100)) = ? c) log((square root 10^3)(square root 10^5)(square root 10) = ? d)

log x = 1/2 (log a + Log b  log c) express x in terms of a,b,and c.

The pH of a chemical solution is given by the formula pH = log10 [H+] where [H+] is the concentration of hydrogen ions in moles per liter. Values of pH range from 0 (acidic) to 14 (alkaline). (a) what is the pH of the solution for which [H+] is 0.1? (b)

How would you solve this equation? log(ab)=log(a)*log(b) a=30, b=60 Does the it appear that this is a true statement? Why?

Hi, I need help writing log(x^29)log(x^2+7x+12) as a single logarithm. Thankyou! since there is a subtraction sign in between that means you divide the two terms...so it would be log(x^29/x^2+7x+12) you can go further and factor the two...so by

Integrate x dx/(1x). I have proceeded thus Int xdx/(1x)=int (x1+1)/(x1) =Int[1+ 1/(x1)]dx =Int dxInt dx/(x1) =xlog(x1). On differentiating, we get original expression d/dx[xlog(x1)]=11/(x1)=x/(x1)=x/(1x). However, the answer in the


Create a question that will use all four Log Operations and four Basic Log properties. The four log properties are: Logb 1=0; logbB=1; logbB^x=x; b^logbx=x the final answer must be X=e^pi where e is the natural log base = 2.718 be creative. Start with ln x

Find the exact solution, using common logarithms, and a twodecimalplace approximation of each solution. log(7x + 4) = 2 + log(2x − 3) Solve the equation. log(x^3) = (log x)^2

solve 4^3x4=32^x+2 Please help! Do you mean 4^(3x) 4 = 32^x +2 ? yes If that is really what you mean, I cannot get a closedform solution for you. You would have to solve it by trialanderror or graphical means. If, on the other hand, you mean

here is the question: log5(x4)= log7x solve for x. These are just base 10 logs. log100 = 2 This equation has the same format as log 40 = log (2x20) Since both sides have log base 10, you divide by log base 10 and end up with 5(x4) = 7x, so 5x 20 =7x

solve the following logarithmic equation. 1. 2log(lower2) (x2) + log(lower2)^2=3 I do not know how to make the 2 by the g on my computer. 2. log(lower729^x) + log(lower27^x) + log(lower3^x) =9 again I do not know how to make the numbers lower case please

How do you find the domain of log(x^24)? and how about this one? e^(3x+4)? Please help me! Well kristie, you might recognize log(x^24) = log((x2)(x+2)) and then use a property of logs to see it as a sum, i.e., log(ab)=log(a)+log(b). You are then

log(x2) + log(9x) < 1 log(x2) + log(9x) < 1 log(x2)(9x)<1 (x2)(9x)<10^1 and solve.

A cylindrical log of uniform density and radius 20.0 cm floats so that the vertical distance from the water line to the top of the log is 8.00 cm. What is the density of the log? (Hint: draw a good picture of the circular end of the log.)

Help with these problems would be greatly appreciated: 1.Find the definite integral of dx/(x(1+ln(x))from e^6 to 1. 2. Solve for x in terms of k for log[2,x^6)+log[2,x^10=k. (its log base 2) 3.Solve log base 3(log base 3, x)=2

If g(x = log subscript 7 x then what is the value of g(1/49)? I believe it's 1/2 but I'm not sure. no recall that log 1/49 (base7) = log 1  log 49 = 0  2 =2


I know I have to take the log of both sides, but I don't seem to get how they work out! Can anyone explain how to do 3e^(1+x) = 2 AND 10^(2x+3) = 280 If you walk me through one I should be able to figure out the other. Hopefully... I think you need to go

Can someone help me find the value of B in this expression???? log 64 = Blog 4 5 5 Grrr... sorry about that. Here's the expression again: log (base = 5) 64 =B log (base = 5) 4 log 64 (base5) = log 4^b (base5) so 64 = 4^b by recognition of 64 as a power of

I keep getting wrong answer for this question. Write as a single logarithm log(x+1)+2log(2x+1)log(x3)

I keep getting wrong answer for this question. Write as a single logarithm log(x+1)+2log(2x+1)log(x3)

Write as a single logarithm log(x+1)+2log(2x+1)log(x3)