Question

solve for x,128^x =2

Answer 1

2^7x=2^1
on compairing
we get 7x=1
so x=1/7

Answer 2

given,
${128}^{x} = 2 \\ we \: know \: 128 = {2}^{7} \\ so \: { {2}^{7} }^{x} = 2 \\ comparing \: exponents \\ 7x = 1 \\ x \frac{1}{7}$