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college algebra... LOG

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college algebra
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.

math
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) = log(1) (h) ln(e) = log(10...

College Algebra
Give the real solution set for each of the following: 42) log(6)(x^2+11) + log(6)x = 1 + log (6)(x^2+1)

Algebra 2
how do not understand how to do this Log X + Lob (X-3) = 1 I know I do this Log X(X-3)=1 then I do this Log X^(2) - 3X = 1 then I do this 2 Log (X-3X) = 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 = (-1/4) then by def ...

college algebra
2 log x- log 9=log 441

college algebra
2 log x- log 9=log 441

College Algebra
Write the expression as a single logarithm whose coeffecient is 1. Log x + 12 log y

Math Help Please
Which of the following expressions is equal to log (x sqrt-y)/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)

college algebra
solve the following logarithm equation log (4x+7)=1+log(x-6) x=? please show work

college algebra
Solve the logarithmic equation. Log x +log2x = 4 Wouldn't this be no solution because log x is undefined?

College Algebra
solve the following: Log(50x)+log(x-1)=2

College Alegebra
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 back to one of the log...

Algebra-Please check
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

Algebra 2
-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 b of n)=(log base 2 ...

Mathematics
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 cross-multiply hence a^2r^2 = a^2r^2 L.H.S=R.H.S Hence proved?

college algebra
I need to expand the expression without exponents. We haven't covered this yet so I am confused on how to do both of them Log x4y7/4 4 log x^8/√yz^5 4 Thanks, for your help.

Algebra 2
How is the expression log 32 - log 8 written as a single logarithm? log 4 log 8 log 24 log 40

college algebra
use the properties of logarithms to find the exact value of the expression loglower 3^18 - log lower3^6 **how do I make the three lower in the log equation?

TRig WIth LoGs help1!!
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 x)^2 = 3 log x = (+ ...

college algebra
solve the following logarithmic equation. 1. 2log(lower2) (x-2) + 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 show work, and if you...

College Algebra
log(x+10)=1+log(4x-3)

college algebra
1/2 log 25- 3 log x

College Algebra
Solve the logarithmic equation for x. log(base 3)(x+6) - log(base 3)(x+1)=1 urgent! help!

math(Please help)
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!

Algebra-Please check
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

Algebra-Please check my answer
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

math
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 becomes an easy question.

Re: Algebra II
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.

Algebra please can you ck my work
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

College Algebra
Solve the logarithmic equation. Express your solutions in exact form only. Please show all of your work. log base 6 (64x^3+1)-log base 6 (4x+1)=1

Algebra
How would I write 1-2log(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

Chemistry/Algebra 2
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= 7^2*3^2)

Precaculculus
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

algebra
logarithms Solve the following equations 3^x-2=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 = log 8 x = log 8 / ...

Trigonometry
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

College Algebra
Use the Laws of Logarithms to combine the expression. 1/5log(x + 3)^5 +1/3 [log x^6 − log(x^2 − x − 12)^3]

Math/trig
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

precalc
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)=

College Algebra
How do you solve 3 log(base 2)*(x-1)+ log(base 2)4=5

algebra homework
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^9-6} log (x + 4) = log (5x - 5) i got: 9/4 log (x + 30) - log 2 = log (3x + 2...

Calculus AB
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

Trigonometry
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)

chemistry
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 log base 10 of each ...

Advanced Functions/ Precalculus Log
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)x-log(base 2)6=log(base 2)5+2log(base 2)3 5. Solve 3^(2x) = 9(81^x) 6. Solve 3^(2x)=7^(3x-1). Round answer to two decimal places...

algebra
1. logx+log(x+48)=2 14.log50+log(x/2)=2 23.log72-log(2x/3)=0 Could someone please explain to me how to solve these?

algebra 2 logaithms
Use the properties of logarithms to evaluate/simplify the expression. 1. 5^log(7x) 2. 10^x + 2 log(x)=x+2 or log(x)=x-2 ????

mathematics -logs
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 10 256-2log 10 a/log 10 b f)log 10 (a-b)= log 10 a/log 10 b g) the gradient of the graph of y= 2x^x at x= 2 is 2e^e h) the gradient of the...

precalc(LOGS) CONFUSED!
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

college algebra... LOG
log4(little 4) 8 how do i write this in y=?

Algebra 2
I am having trouble with understanding log. I don't know what to do when it says log x=3 or when it has log with a little 5 x=2

Algebra II
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?

Algebra
Is this correct? Express as a single logarithm. log[x](14)-log[x](2) Answer= log[x](12)

college alg
solve the following logarithm equation log (4x+7)=1+log(x-6) x=? please show work

maths
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 10 256-2log 10 a/log 10 b f)log 10 (a-b)= log 10 a/log 10 b g) the gradient of the graph of y= 2x^x at x= 2 is 2e^e h) the gradient of the...

maths
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 10 256-2log 10 a/log 10 b f)log 10 (a-b)= log 10 a/log 10 b g) the gradient of the graph of y= 2x^x at x= 2 is 2e^e h) the gradient of the...

Algebra 2 once more
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 expression w/o a ...

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

College Algebra
Write each of the following as a single logarithm (log (x+3))/(3) = 1

Algebra
Express as a single logarithm and simplify: 2 log 3 + log (3x) – log x

ALGEBRA
Express as a single logarithm and simplify: log x – log (8x) + 2 log 4

Algebra
ok did i do this right? evaluate the expression log(base4)(16)(4) log(4) 16 + log(4) 4 ? can you do that?

algebra
Write expression as one logarithm and simplify if appropriate. log 3√x+log x^4-log x^3 Need help solving we haven't really gone over this yet.

algebra
solve 4^-x=64 Please help -x log 4 = log 64 -x = log 64/log 4 = 3 x = -3

Algebra 2
Given: log(10,5)=a, log(10,3)=b, log(10,2)=c Find: log(30,8)

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

chemistry
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.

College Algebra
Solve for x: 3^(2x)=14 We've gotten: 2x=log(subscript 3)14=2.4 Is this two answers, or what?

College Algebra
Write each of the following as a single logarithm: 8) ((5-log x)/4) + 4log y =

Algebra
How can you find log base 3 of 242/5 using the given information without a calculator? log base 3 of 10 = 2.1 log base 3 of 11 = 2.2 log base 3 of 4 = 1.3

algebra
solve 4^3x-4=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 closed-form solution for you. You would have to solve it by trial-and-error or graphical means. If, on the other hand, you mean 4^(3x-4)=32^(x+2), then take ...

Algebra
In the logarithmic expression . . . log(base 4) 8 , how does the base 4 become base 2? Here is how it is suppose to be worked out: log(base2)8 / log(base2)4 => log(base2)2^3 / log(base2)2^2 => 3/2

Algebra
log[3](2x+8)+log[3](3x)=log[3](2) Need help with this one please, thanks.

College Algebra
Express as an equivalent expression, using the individual logarithms of w,x,y and z. log a (xy^2z-3)

College Algebra..LOG
log4(little four) (40 - 3x) = 0 now i need to solve for x...

College Algebra..LOG
log4(little four) (40 - 3x) = 0 now i need to solve for x...

math
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..

College Algebra
Give the rational number that is the exact value for each of the following: 14) Log(9)((∛(3)/(ã(27))=

math
Q1:solve log(5)x-log(25)(x+10) = 0.5 Q2:If 2log(a)x=1+log(a) (7x-10a) ,find x in terms of a. Q3:Find x for which 27x3^lgx = 9^1+lg(x-20) 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

12th grade, Advance Algebra
How to press the value of log, to evaluate log, to find the unknown log using EL-531WH, advance D.A.L

Algebra
will you please show me step by step in solving: 1/2 log b + 3 log c. I need to express as a single log logarithm and if possible, simplify Thanks

Algebra 2
I am trying to find the inverse of these functions. Can someone please check my answers and tell me how to do number 2? 1. y=7^x y=log base 7 x 2. y=log base 1/2 x 3. y=2^(x)-3 y=2^(x+3) 4.y=6+log x

Math
h(x) = log (6x+5/7x-4) Find a formula for the inverse function h^-1(x) h^-1(x) = My work so far h(x) = log(6x+5/7x-4) y=log(6x+5/7x-4) x=log(6y+5/7y-4) 7xy-4x= log(6y+5) how would I solve from here. Would I solve for y then do the natural log of both sides or do the natural ...

Algebra 2
If log(base10)of 2 =0.301 and log(base10) of 3 = 0.477, how would I find a) log(base10) of 8 b) log(base10) of 12 c) log(base10) of 15

Math
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 8 = x+2*log 16 solve ...

algebra
Solve log 1/100 = log(10x + 2). Do you mean (log 1)/100 or log (1/100)? If the latter, then 1/100 = 10 x + 2 Take it from there

algebra
Find value of log (base 8)log (base 2) log (base 3)log (base 3) (27)^3 I endedup with 1.000063462 which was wrong

Algebra II
1. 4^x - 3(4^-x) = 8 I got where 4^x = 4 + square root (19), but I can't solve further. The answer is (log (4 + root (19)) ) / (log 4). 2. log (x^2) = (log x)^2 Solve for x Thanks!

math
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

math
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 for a method of ...

Algebra
Given log b 3 = 0.8397 and log b 7 = 1.4873. Find log b 3b Is the right answer 0.8397

algebra/logs
I don't understand this problem: (1/2)n = 0.015625 n log 0.5 = log 0.015625 n = log 0.5 / log 0.015625 n = 6 When I plug log .5 into the calculator it gives .3010 and when I plug .15625 to the calculator it is -1.806 and that would be -.3010/-1.806 =.1666. How is the answer 6...

Precalculus
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) 1000^log(3) = ? e) log(1/log...

Algebra II
ok now this is an algebra 2 problem... I have goten far down to hear e^(ix) = (4i +/- 3)/5 now how do I solve for x I feel really stupid now as this is algebra 2... can't use natural log right or the common log as ln( e^(ix) ) does not equal ix so what do I do?

Math
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

Math
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

Algebra
Is this answer correct? Express as a single logarithm: log[2](6)+log[2](13) Answer= log[2](78)

Algebra 2 logarithms
Use the properties of logarithms to evaluate the expression. 1. 5^log(7x) 2. 10^x + 2 log(x)=x+2 or log(x)=x-2 ????

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

Math-LOGS
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!

maths
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.

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