SOLUTION: find the solution of the exponential equation. write the answer using natural logarithms. 8 ^ 3x-6 = 2 ^ 4x-5 ?

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Question 422460: find the solution of the exponential equation.
write the answer using natural logarithms.
8 ^ 3x-6 = 2 ^ 4x-5
?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


First use the fact that 8 is an integer power of 2, that is: , and the fact that to rewrite your equation as:



Then take the natural logarithm of both sides:



Then use:



to write:



Divide by



and finally solve for

John

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