Question

$( frac{1}{49} ) ^{x-14} =7$

Answer 1

$7^{-2(x-14)} =7^{1}$
-2x+28=1
-2x=-27
x=27/2=13.5

Answer 2

$(frac{1}{49} ) ^{x-14} =7 \ 7 ^{-2*(x-14)} =1 \ -2x+28=1 \ -2x=1-28 \- 2x=-27 \ 2x=27 \ x=13.5$