Question

решите уравнение (4/3)в степени 3х = (27/64) в степени -7

Answer 1

$(\frac{4}3)^{3x}=(\frac{27}{64})^{-7}\\\\(\frac{4}3)^{3x}=(\frac{3}{4})^{3*(-7)}\\\\(\frac{4}3)^{3x}=(\frac{4}{3})^{21}\\\\3x=21\\x=7$

Answer 2

(4/3)^3x=(64/27)^7
(4/3)^3x=(4/3)^21
3x=21
x=7