SOLUTION: I have to solve the equation {{{6^(5x-5)=8^(7x-6)}}} I took the natural logarithm of both sides so that I could use logarithm rules to get: {{{(5x-5)ln6=(7x-6)ln8}}} but I seem to

Question 973046: I have to solve the equation
I took the natural logarithm of both sides so that I could use logarithm rules to get: but I seem to be stuck at this step. I am not sure what to do next.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
I have to solve the equation
I took the natural logarithm of both sides so that I could use logarithm rules to get: but I seem to be stuck at this step. I am not sure what to do next.
=========================

Collect the terms with x.
------
5x*ln(6) - 5ln(6) = 7x*ln(8) - 6ln(8)
5x*ln(6) - 7x*ln(8) = 5ln(6) - 6ln(8)
x*(5ln(6) - 7ln(8) = 5ln(6) - 6ln(8)
x = (5ln(6) - 6ln(8))/(5ln(6) - 7ln(8))
Calculator work now.
RELATED QUESTIONS
Can someone help me with logarithms?!?! I need to solve the equation (6 + 6 lnx = 11) by... (answered by Nate)

Question: Using the change of base formula with natural logarithm, find ln x given that... (answered by MathLover1,MathTherapy)

Without using a calculator how do you solve 5^(123/1000)? I know this problem can be... (answered by josgarithmetic)

I have a logarithm problem, I don't understand Use log b(7)= 1.946 and/or log... (answered by nerdybill)

By taking logarithm base 10 of both sides, solve the index equation correct to 4... (answered by MathLover1)

I could really use this some help with this logarithm problem. I have submitted this... (answered by chriswen,josmiceli)

How do I solve the equation 3xsquared=49 using its natural... (answered by stanbon)

Can you please help me with this problem? Solve the equation by isolating the natural... (answered by stanbon)

5(x-6)+6=7(x+2)-8 My problem with this one is just when i think i have it figured out... (answered by askmemath)