Questions on Algebra: Logarithm answered by real tutors!

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Tutors Answer Your Questions about logarithm (FREE)


Question 498524: exact value of log4 120 − log4 48 − log4 40
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Question 497909: Hi, this is review in my Calculus book... Solve: log(base x) (2x-3)=2 for x.
I tried doing this:
2x-3=x^2
x^2-2x+3=0
(x-3)(x+1)=0
So x = 3 and x = 1.
But then I thought it might be False since if you put 3 and 1 into the first eqation that it wouldn't come out to 2.
Thanks for helping

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Question 497849: solve for x.
log1/2^x=-4

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Question 498918: log(x+y)=?
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Question 499032: Write 5(1.06^2x+1)=11 as a logarithmic equation then solve
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Question 499544: Log base 8 *log base 4 *log base 2 *16
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Question 499587: use the change-of-base theorem to find the logarithm.
log(4)^9
(simplify your answer. Do not round until the final answer. then round four decimal places as needed.)

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Question 499734: what is the single logarithm of
logaX=logaY-logaZ

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Question 500262: PLEASE HELP
Solve this equation:
log (4x-4)* log (x+2) = log2

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Question 500770: log a-2log b
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Question 501109: 1. There is one x satisfying 5^(−3x−2)=1/78125. Use the rules of exponentiation and logarithms to find this number.
The value of x is...
2. There is one x satisfying log3(4x−8)=1. Use the rules of exponentiation and logarithms to find this number.
The value of x is...

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Question 501080: Solve 2(x+7)^2=56
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Question 500390: log3(x+12)-log3x=log3(x+9)
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Question 501183: If the number 225 is written in exponential form, what is the base? I think the answer is 5 to the 45th power.
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Question 499539: determine the solution of the following logarithmic equation:
xlog(x+6)=2

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Question 501384: how do you make this a single logarithm?
ln5 + 5ln3

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Question 501757: 2ln27-ln3 single logarithm
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Question 503353: express y in term x
log y =2 log x

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Question 503492: i need help with 3 + log(2x+5)=2.... can you show me step by step and explain it to me please?
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Question 504499: log base 3 (10x^2-x-2)=2+2*log base 3X
solve for x
I tried to change the 2*log base 3x into log base 3x^2.
Then I think i should try and get the 2 left on the right side of the equation to be a log base 3 to allow the log base 3 to cancel completely out.
but I am not sure how to change 2 to a log base 3 if that is the correct step. Any help would be great. Thank you.

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Question 504519: in studying the frictional effects on a flywheel, the revolutions per minute R that it makes as a function of the time ( in minutes) is given by R = 4520(0.750)^2.50t. Find t for R = 1950 r/min.
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Question 505121: Please help us solve this log. prob my Maths teacher is also confused:
log x = 1/3 log 8 + log 9 - 1/3 log 27
Thank you in advance.

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Question 505295: Solve By Factoring
+3x%5E2%2B5x-2=0+

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Question 505293: Solve by factoring (please show work)
+x%5E2%2B5x%2B6=0+
and
+2x%5E2-x-3=0+
If you can help with both that would be much appreciated, but if you can only solve one i understand.

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Question 505833: Solve by factoring. 2x-5=50x^3-125x^2
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Question 505585: how to make 3^x=3 into logarithmic equation. please hurry!
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Question 505581: 2ln(x+1/2)=ln(1/4)
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Question 505457: Solve for x using natural logs:
(e^2x)-(4e^x)-5=0

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Question 505296: A Rectangle is 4 times as long as it is wide. A second rectangle is 3 centimeters longer and 2 centimeters wider than the first. The area of the second rectangle is 530 square centimeters greater than the first. What are the dimentions of the original rectangle?
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Question 505294: Factor each of the following
+81r%5E2-36rs%2B4s2+

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Question 506555: why can a logarithm, as defined be interpreted as an exponent?
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Question 506663: Please help me find the domain of g(x)=8+5ln(2x+3) i know that to start off with whatever we have in parenthesis is greater than "0". So 8+5ln(2x+3)>0 but im confused about the rest thank you
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Question 506868: Verify that equation is identity .
sinθ+cosθ=(2sin^2θ - 1)/(sinθ-cosθ)

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Question 507156: Express Log48 in a sum of Logarithm 2
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Question 507252: Express the given quantity as a single logarithm.

1/9 ln(x + 2)^9 + 1/2[ln x − ln(x2 + 3x + 2)^2]

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Question 507092: +log%28base+2%29++%286x%2B4%29=6++. Please show me how to solve for x. Thanks.
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Question 507382: solve for x.
log (base 10)(x+3)=log(base 10) (2x) + log (base 10) (5)

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Question 507400: e^ (x+6)= e^(x) + 1
Solve for x

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Question 507383: e^x+2=5
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Question 507326: if L= (x^2)/(k, then log L is equal to
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Question 507208: log10 ^(x-4)
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Question 507653: How can I express 50^2 as a log. and how would I calculate it
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Question 507728: by using an appropriate substitution find the value of x for which x^(3/2) - 8x^(-3/2) =7
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