Question

(√125)^x=3125 me ajudem pra hoje estou precisando de ajuda nessa equação exponencial

Answer 1

${ \sqrt{125} }^{x } = 3125$
${5}^{3x \div 2} = {5}^{5}$
$3x \div 2 = 5$
$x = 10 \div 3$
$x = 3.3333$
i hope this answer was helping full mark me as brainist

Answer 2

Hello,

Solution:

It see you want to find the value of x from the given equation

${ \sqrt{125} }^{x} = 3125 \\ \\ {125}^{ \frac{x}{2} } = {5}^{5} \\ \\ ({ {5}^{3} })^{ \frac{x}{2} } = {5}^{5} \\ \\ {5}^{ \frac{3x}{2} } = {5}^{5}$
now both base are same,so we can compare powers

$\frac{3x}{2} = 5 \\ \\ 3x = 10 \\ \\ x = \frac{10}{3} \\ \\ x = 3.333$
Hope it helps you.