Help solving exponential equation....Need Instructions?

Question

2^(7 - 3x) = 1/4

SOLVE SYMBOLICALLY

the answer is:

(ln4/3ln2 )+ (7/3)

Answer 1

I didn't get your answer, my solution showed x = 3.

2^(7 - 3x) = 1/4
(7 - 3x)(ln 2) = ln 1/4
7 - 3x = (ln 1/4)/(ln 2) = -1.386294/0.693147
7 - 3x = -2
-3x = -9
x = 3

Substiute 3 back into the original equation:
2^(7 - 9) =1/4
2^(-2) = 1/4
1/4 = 1/4
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