Question

Resolva a equação por favor me ajudem

Answer 1

$5^{\dfrac{3x}{2}}=125^4\\\\ 5^{\dfrac{3x}{2}}=(5^3)^4\\\\ 5^{\dfrac{3x}{2}}=5^{12}\\\\ \dfrac{3x}{2}}=12\\\\ 3x=2*12\\\\ 3x=24\\\\ x=\dfrac{24}{3}\\\\ x=8$