Rewrite as a single logarithm. 5 logb m -6/5 logb n +1/3 logb j - 2 logb k

5,407 questions
1. algebra 2

Rewrite as a single logarithm. 5 logb m -6/5 logb n +1/3 logb j - 2 logb k

asked by kyle on July 15, 2011
2. Pre Calculus

Assume that x, y, and b are positive numbers. Use the properties of logarithms to write the expression logb ^8xy in terms of the logarithms of x and y. a. logb^8 + logb x + logb^y b. logb^8+logbx c. logb^8+logby d. logb^8 + log8 x + log8^y e. logb^8+log8xy

asked by Jessica Maths on July 6, 2016
3. pre cal

Approximate the following logarithms using the properties of logarithms given logb(2)=0.264, logb(3)=0.419, and logb(5)=0.614. logb(24) =? logb(100) =? logb(5b^3) =?

asked by tor on July 25, 2016
4. Maths

If X=loga(n), y=logc(n) where nis not equal to one . Prove that x-y/x+y=logb(c)-logb(a)/logb(c)+logb(a)

asked by Joel on July 23, 2016
5. Maths

Assume that x, y and z are positive numbers. Use the properties of logarithms to write the expression -2logb^(x-6)logb^y+1/7logb^z as the logarithm of one quantity. answers: a. logb z1/7 / x^2y^6 b. logb z 1/7 / x^6y^2 c. log x1/7 / y^2 z^6 d. logb z1/2 /

asked by Issie on July 7, 2016

Let logb 2=2.217 and logb 3=3.417. Find logb 3b Please walk me through this steo by step.

asked by Josh on April 1, 2018
7. Algebra

True or False and please explain so that I can understand. Thank you. 1. (1,0) is always a point on the graphy of y = logb (x). 2. If x=b^2y for b > 1, then y = 1/2 logb (x).

asked by Lily on March 4, 2015
8. Algebra 2

If logb^z=1/3logb^x+logb^y, write z in terms of x and y. I need all of the steps. I need this ASAP because this assignment is due tomorrow. Thanks

asked by Brandon on May 25, 2011
9. mathematics for management

helo sir/madam can u help me to solve this problem find the value of x in terms of b of the equation logb 2x-logb(x+2b)=1

asked by amy on April 15, 2014

1. To five decimals it is a fact that log(2)=.30103 Compute the following to three decimal places usuing ONLY this fact and the logarithmic rules and the definition of a logarithm. a. log100 (2) --base 100 b. log1000 (square root of 2) -- base 1000 2.

asked by anonymous on January 13, 2008
11. math

how do I figure this out? if logb (x)=-3 then when simplified, what does logb (1/x) equal?

asked by explanation needed on December 12, 2008
12. Algebra

Given that logb(5)=1.32 find the value of logb(1/sqrt(5))

asked by Lisa on August 22, 2011
13. math

if logb C= A, explain why logb 1/c = -a

asked by tom on March 24, 2017
14. college algebar

logb x= logb(x+2)-logb8

asked by brenda on April 13, 2013
15. Math

Which of the following is not a property of logarithms? A. log(A - B) = logA/logB B. logA + logB = logAB C. xloga = loga^x D. log(b) b^x = x

asked by Pat on December 14, 2012
16. AB Calculus

Assume that x, y, z and b are positive numbers. Use the properties of logarithms to write the expression logb 4(square root)x^7y^2 / z^4 in terms of the logarithms of x, y and z a. 28logbx+8logby-16logbz b. 7/4 logbx+1/2 logby-logbz c. 7/4logb(x+y-z) d.

asked by Miriam on July 7, 2016
17. Math

1. Given the product law of logarithms, prove the product law of exponents. 2. Given the quotient law of logarithms, prove the quotient law of exponents. 3. Apply algebraic reasoning to show that a=b^(loga/logb) for any a,b>0 Please explain these to me.

asked by Jus on May 25, 2009
18. Logarithms

if loga(b)=1/48 what is the value of logb(a^2) ?

asked by Tony on April 22, 2013
19. math

of a^2+b^2=2ab, prove log[(a+b)/2]=1/2(loga+logb)

asked by Anonymous on January 6, 2010

Find the value of logb square root b - loga(1/a)

asked by mandy on May 3, 2014
21. Math

If loga+ logb=logab show that (a+b)²-(a-b)²=4ab

asked by Manish on October 23, 2017
22. Math

If x=loga(bc), y=logb(ca), and Z=logc(ab). Prove that x+y+Z=xyZ-2

asked by Abass on October 7, 2017
23. Math

Apply algebraic reasoning to show that a=b^(loga/logb) for any a,b>0

asked by Jus on May 23, 2009
24. Math

Apply algebraic reasoning to show that a=b^(loga/logb) for any a,b>0

asked by Jus on May 23, 2009
25. Intermediate Algebra

Express as a sum, difference, and product of logarithms, without using exponents.logb^3 sqrt x^8 divided by (y^2)(z^5)

asked by Chelsea on June 16, 2010
26. Find x and y and also log

Question1:2^x+y=6,3^x-y=4 find x and y???? quesstion2:a^2+b^2=7ab show that log(a+b)=log3+(loga+logb)/2????

asked by Collins on October 2, 2015
27. algebra

Rewrite the following as an equivalent logarithmic equation.Do not solve. y^t = x answer logy+logt=logx-is this right also Express as an equivalent expression that is a sum of logt (3ab) the t is at the bottom of the g answer log3+loga+logb logarithms.

asked by dani on May 5, 2010
28. Intermediate Algebra

Given logb3 = 0.792 and logb5 = 1.161. If possible, use the properties of logarithms to calculate values for the following show your work logb 1/3

asked by Kris on June 10, 2010
29. Algebra help

Simplify: Note: The first letters next to log are the small letters. 16.) logr r 17.) logt t^4 18.) logb 1

asked by Shawn on December 1, 2008
30. math

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible evaluate logarithmic expsressions without using a calculator. logb x^7

asked by Ashley on October 15, 2012
31. Logs-check my anwers

Write the equation in its equivalent exponential form. log5 x = 2 I got 5x = 2 logb 256 = 4 i got b4 = 256 log10 sqrt of 10 i got

asked by Jayme on October 23, 2007
32. Alg

Does log eqaul to baswe 10? So would logb=a be rewritten as 10^a=b? AND Why would ln5=x be rewritten as e^x=5? is it because ln also means ln(e) the e is supposed to be lowered idk how.

asked by Amy~ on June 2, 2010
33. Pre-Calc

Assume that x, y, z and b are positive numbers. Use the properties of logarithms to write the expression logb(4) sqrt((x^7 y^2)/(z^4)) in terms of the logarithms x, y, and z.

asked by Anonymous on April 18, 2016
34. Pre-Calc

Assume that x, y, z and b are positive numbers. Use the properties of logarithms to write the expression logb(4) sqrt((x^7 y^2)/(z^4)) in terms of the logarithms x, y, and z.

asked by Anonymous on April 14, 2016
35. Math Algebra 2

#4. Express the logarithm in terms of log2M and log2N: log2 1/MN #5. Simplify: log4 3 - log4 48 #6. Solve the equation: loga x = 3/2loga 9 + loga 2 #7. Solve the equation: logb (x2 + 7) = 2/3logb 64 #8. Solve the equation: loga (3x + 5) - loga (x - 5) =

asked by AM on February 5, 2013
36. Log maths help me plz

Logb(base a)=3/2 log d(base c)=5/7 and a-c=9 then b-d=? Plz help me

asked by Collins on January 5, 2016
37. Math Algebra 2

How do I put log in a TI-84 calculator. #1.Express the logarithm in terms of log2M and log2N: log2(MN)4 #2. Express the logarithm in terms of log2M and log2N: log2 the cube root of M2N #3. Express the logarithm in terms of log2M and log2N: log2 (M/N)7 #4.

asked by AM on February 5, 2013
38. pre-cal

Change of Base Formula logb x = loga x/loga b to evaluate log14 41. (Round your answer to three decimal places.) i need a step by step preview please

asked by Emma on August 3, 2015
39. Maths

Logb(base a)=3/2 log d(base c)=5/7 and a-c=9 then b-d=?

asked by Mk saini on May 29, 2018
40. Math

Logb(base a)=3/2 log d(base c)=5/7 and a-c=9 then b-d=?

asked by Anonymous on May 29, 2018
41. algebra 2

log(base 2)csc(x) = log(base 4)csc(4x^2) I tried doing the log(base a)b = logb/loga but I can't get past that because I'm not sure what to do after that. How do I set it up so I get like cscx=? or something so I'm able to solve for multiple values of x?

asked by Teddy on August 11, 2010
42. need math help asap (logs) !!!

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

asked by hi on December 12, 2006
43. PreCalculus - Need help, due tonight

1. Rewrite the expression 1/2ln(x – 6) + 3ln(x +1) as a single logarithm. 2. Rewrite the expression 1/3[ln x – 2ln(1 – x)] as a single logarithm.

asked by Ethan on December 7, 2015
44. Logarithms

Kepler's third law of planetary motion relates P, the period of a planet's orbit, to R, the planet's mean distance from the sun, through the equation log P = 1/2 (log k + 3 log R), where k is a constant. a) Rewrite the formula as a single logarithm. b)

asked by Labz on April 2, 2012
45. Math

Rewrite the expression 2logx−3log(x^2+1)+4log(x−1) as a single logarithm logA. Then the function

asked by Laura on September 20, 2016
46. Precalculus

1. Write the given expression as a single logarithm. log(70x)+log(10y)-2 2. Write the given expression as a single logarithm. ln7e/(square root 2x)-ln(square root 2ex) 3. Write the given expression as a single logarithm. -2Ln(x)+Ln(4y)-Ln(5z)

asked by Anonymous on November 6, 2010
47. ALGEBRA

CONTACT THE EXPRESSIONS.THAT IS USE THE PROPERTIES OF LOGARITHM TO WRITE EACH EXPRESSION AS A SINGLE LOGARITHM WITH A COEFFICIENT OF 1. In 3-2 in 9 + 18 in 3-2 in (9+6) in 3-2 (in 4 + in 8)

asked by Mary Ann on May 8, 2014
48. College Algebra

I am asked to write a logarithmic expresion as a single logarithm with coefficient 1 and simplify as much as possible. The equation is: 4logbase5Y-3logbase5X+1/2logbase5Z. Could some please help me I am not understanding this whole Logarithm thing.

asked by Nikki on July 17, 2016
49. Math

Please help. 51. Solve: 125=(x3)/0.3^-3 a.7 b.14 c.15 d.9 53. 49x-2 = 7Ö 7 a.-5/4 b.5/4 c.11/4 d.-11/4 60. Simplify: 2log^3 6 - log^3 4 a.3 b.6 c.4 d.2 61. Solve the equation: logb (x^2 + 7) = 2/3logb 64 a.9 b.3 c. √23 d. ±3 62. Solve: (The fifth root

asked by Holly on May 21, 2013
50. Precalculus

1. Write the given expression as a single logarithm. log(70x)+log(10y)-2 2. Simplify the expression. (Do not use mixed numbers in your answer.) (5x^7/8)(2y^4/6)(x^9/8)(4y^-2/6) 3. Write the given expression as a single logarithm. -2Ln(x)+Ln(4y)-Ln(5z) 4.

asked by Anonymous on November 6, 2010
51. Math - Logarithms

Write the following expression as a single logarithm: 4ln2x + ln(6/x) - 2ln2x So I did... 4ln2x + ln(6/x) - 2ln2x = ln2x^4 + ln(6/x) - ln2x^2 = ln16x^4 + ln(6/x) - ln4x^2 = ln16x^(2)(2) + ln(6/x) - ln4x^2 = 2ln16x^2 + ln6 - lnx - ln4x^2 If my calculations

asked by Kid on November 13, 2015
52. Calculus

Write as a single logarithm of a single quantity ln(3)+1/2ln(x+2)-4ln(1+sqrtx)

asked by Ana on July 15, 2012
53. Algebre

Please help I don't understand Contract the expression this is use properties of logarithm to write each expression as a single logarithm with a coefficient of 1. In3-3 In 9 +In 18 In3-2 in (9=6) In 3-2 (In 4 In 8) Thank you so much

asked by Mary Ann on May 6, 2014
54. Calculus

How do I rewrite log4 1=0 as an equivalent exponential equation? How do I rewrite 4 to the -2 power = 1/16 as an equivalent logarithmic equation? Any help is greatly appreciated. If 4 is the BASE of the logarithm, then log (1) = 0 means ...4 4^0 = 1 4^(-2)

asked by Abby M. on January 13, 2007
55. math

Use the Laws of logarithms to rewrite the expression ln(x^3 sqrt(y^4/z^10)) in a form with no logarithm of a product, quotient or power. After rewriting we have A ln(x)+B ln(x)+C ln(x) What is A B and C?

asked by Rachel on February 20, 2013
56. Cal

Express the given quantity in a single logarithm. ln(a + b) + ln(a - b) - 2 ln c

asked by Zac on October 5, 2011
57. College Algebra

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

asked by Y0gi on November 16, 2010
58. math: pre-calculus

Write the expression as a single logarithm. Ln(e^3y)+ln(ey)-4

asked by Nicky on May 8, 2016
59. Calculus

Write the logarithm of a single quantity: 2ln(x)+ln(4)-(1/2)ln(9)

asked by Zoe on April 6, 2011
60. math

express log2+log3 as a single logarithm

asked by moya on September 23, 2018
61. math

okay, this i cannot figure out anywhere. 2[ln(x)-ln(x+1)-ln(x-1)] evaluate into logarithm of a single quantity.

asked by strawberryfields on January 23, 2009
62. Pre-Calculus 12

Write the following expression as a single logarithm: 4 log 3 + 2

asked by Ryan on May 20, 2017
63. math condense logs

write the expression as the logarithm of a single quantity 3[ln x-2 ln(x^2+1)]+2 ln 5

asked by Jonas on October 1, 2016
64. pre calculus

Write the expression below as a single logarithm. 2in(x+4)-in((x^(2)+x-12)/(x))

asked by amy on October 2, 2011
65. calculus

Express the given quantity as a single logarithm. 1/3ln(x + 2)3 + 1/2[ln(x)− ln(x^2+3x+2)^2]

asked by Anonymous on September 29, 2011
66. algebra

Write the expression in a single natural logarithm. 3 ln a - 0.5 (ln b + ln c^2)

asked by wouldntyouliketoknow on November 14, 2012
67. pre calculus

Write the expression below as a single logarithm. Need to know how to work this! ln(x-5/x^2 - 1) - ln (x^2 - 2x -15/x + 1)

asked by James on December 17, 2011
68. Calculus

Write the expression as the logarithm of a single quantity. ln 2 + 1/2 ln(x +1)-2 ln(1+ x^(1/2))

asked by Cam on April 10, 2013
69. Algebra

Express as a single logarithm and, if possible, simplify: In x^2 + 3In x-In x^8 Thanks so much

asked by Jonathan on August 2, 2014
70. College Algebra

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

asked by Y0gi on November 16, 2010
71. Calculus

express the given quantity as a single logarithm: ln(a+b)+ln(a-b)-8ln(c)

asked by John on August 30, 2010
72. Algebra 2

Can In 5 + log2 10 be written as a single logarithm? Explain.

asked by Bubble on May 3, 2013
73. calculus

Express as a single logarithm ln(a)+1/2ln(b) 2ln4-ln2

asked by Jan on May 1, 2011
74. precalculas

write as a single logarithm 2IN plus In y munus In2y

asked by Jim on March 9, 2015
75. Math - Write expression as single logarithm

Write the expression below as a single logarithm. Please show all of your work. ln((x^2 – 1)/(x^2 – 6x + 8)) – ln((x+1)/(x+2))

asked by CheezyReezy on June 6, 2011
76. Calc

express 3ln(r)- 5ln(s)+ 7ln (t) as a single logarithm.

asked by Dan on December 9, 2010
77. math

express the following as a single logarithm log2+log3+log4

asked by kathrine on April 15, 2013
78. logarithms

how to wirte 3log(s)-4log(c)+2log(t-4) as a single logarithm. Thanks

asked by vero on March 4, 2012

Math the equation a single logarithm. Express as factors. ln(x/(x-1))+ln((x+1)/(x))-ln(x^2-1)

asked by kristina on December 3, 2012
80. Precalc

chande into a single logarithm (1/2)ln(x^(2)+1)-4ln(1/2)-((1/2)[ln(x-4)+lnx] ) steps to please

asked by Amy~ on February 2, 2011
81. calculus

Express as a single logarithm ln(a)+1/2ln(b) 2ln4-ln2

asked by Jan on May 1, 2011
82. college algebra

write the expression as a single logarithm In(x/x-2)+In(x+2/x)-In(x^2-4) Please show work

83. Math (Condensing logarithmic expression)

Write the expression as the logarithm of a single quantity 3[(ln x) -2ln(x^2+1)]+2 ln 5?

asked by Ray on October 1, 2016
84. precalculus

write the expression below as a single logarithm show work. ln(x-7/x^2+12x+36)-ln(x^2-49/x+6)

asked by Sara on January 11, 2012
85. math

write the expression as the logarithm of a single quantity. 2 In 8 + 5 In z My answer is 7 In 8z but I don't not think this is right!

asked by Hannah on July 28, 2009
86. math

How would you condense a logarithm expression into a single quantity if the logs have different bases?

asked by Jamie on November 20, 2012
87. Math

Condense the expression to the logarithm of a single quantity. 5lnx-6ln(x+2)

asked by Fiona on November 14, 2014
88. Calculus

Write this expression as a single logarithm 6ln(x+8)+1/8lnx-ln(cosx)

asked by Kelly on June 25, 2010
89. MATH HELP!

i have write the equation as a single logarithm 2 lnx-3 lny+1/2 lnz

asked by Katie on April 1, 2012
90. Algebra II

How would I write log(6)27-2log(6)3 as a single logarithm I'm confused on this one Thanks for any help you can provide

asked by Matt on December 13, 2010
91. AP Algebra

Write the expression as a single logarithm: 2lnx+3lny-ln2-4lnz

asked by keikei on December 3, 2013
92. Math 120

Write 4logb(X)-1/3logb(y)+2logb(z)as a single logarithm Its log base b.

asked by Joey on December 3, 2014
93. Precalculus

Write 4log2+log6-log3 as a single logarithm. Explain with steps please!~~

asked by Jake on January 30, 2012
94. math (log)

Express as a single logarithm 2log3 + 4log2 I'm confused as to how to do this, I keep getting the wrong answer. Thank you!

asked by Laura on January 29, 2018
95. Math

Use the properties of logarithms to rewrite each expression so that it contains only one logarithm. A. log3(5) + log3(m)

asked by Anonymous on April 4, 2016
96. Math Help

Hi! I'm really lost on how to do this. Does anyone know how to solve this? Thanks! :) Condesne the expression to the logarithm of a single quanity. 4(lnz+ln(z+5)]-2ln(z-5)

asked by Raina on November 6, 2014
97. pre calculous

use the properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms. show your work ln x^2/y^3 Assuming x,y AND z are positive use properties of logariths to write the expression as a single logarithm

asked by kevin on June 12, 2011
98. Calculus

Why can't a equal 1 in y=log(base a) x. And why is x always positive in that? Hmmmm. a^y=x (from the problem statement). If a were to equal 1, then x would be 1 (1 to any power is 1). So if a is not one, but a positive number, then x has to be a positive

asked by Raj on May 8, 2007
99. Pre-Calculus - Reiny

Reiny you helped me with this logarithm yesterday: How did you write it out as log2 ( √A / B^3 ) Laws of logarithms combine, write as a single logarithm Need help on this question please, Im stuck, don't know where to go abouts from here: I did it on

asked by Shreya on October 17, 2012
100. college algebra

Contract the expressions. That is, use the properties of logarithms to write each expression as a single logarithm with a coefficient of 1. ln(3)-2ln(4+8)

asked by Anonymous on January 28, 2012