27=2^4x-5 = Solve the exponential equation exactly and then approximate the answer to three decimal places.

Question

Solve the exponential equation exactly and then approximate your answer to three decimal places.

 

27=2^4x-5 =  ?

 

 

Thank You ,, :-)

Answer 1

I assume that you mean 27 = 2^4x-5

 

Then log27 = log(2^4x-5)

 

        log27 = (4x-5)log2

 

        log27 = 4xlog2 - 5log2

 

        log27 + 5log2 = 4xlog2

 

        log27 + log32 = xlog16

 

        x = log864/log16