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) (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:
\ =\ \ln\left(2^{4x\ -\ 5}\right))
Then use:
\ =\ n\log_b(x))
to write:
\ln\left(2\right)\ =\ (4x\ -\ 5)\ln\left(2\right))
Divide by )
\ =\ (4x\ -\ 5))
and finally solve for 
John
My calculator said it, I believe it, that settles it
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