Question

if 5 to the power of x=125 to the power of minus 1 find three to the power of x and four to the power of x

Answer 1

${5}^{x} = {125}^{ - 1}$

${5}^{x} = \frac{1}{125}$

${5}^{x} = {( \frac{1}{5} )}^{3}$

${5}^{x} = {5}^{ - 3}$

$x = - 3$

$then \: {3}^{x} = {3}^{ - 3} = {27}^{ - 1}$

$and \: {4}^{x} = {4}^{ - 3} = {64}^{ - 1}$