Question

Решите уравнение: (2х³)⁵(2х²)⁴/(4х²)⁴ =54 !

Answer 1

$2 ^{5}*x^{3*5}*2^{4}* x^{2*4}/(2 ^{2*4}*x ^{2*4})=54$
$2 ^{5+4}*x^{15}* x^{8}/(2 ^{8}*x ^{8})=54$
$2 ^{9}*x^{15}/(2 ^{8})=54$
$2 ^{9-8}*x^{15}=54$
$2 x^{15}=54$
$x^{15}=54:2$
$x^{15}=27$
$x^{15}= 3^{3}$
$x= \sqrt[15]{ 3^{3} }$
$x= 3^{3/15}$
$x= 3^{1/5}$
$x= \sqrt[5]{3}$