Question

решите уравнение 2^3х+1*125^х-1/32=500

Answer 1

$2^{3x+1}cdot 125^{x-1}=500cdot 32 \ \8 ^{x}cdot 2cdot 125 ^{x}cdot frac{1}{125}=16000$

$8 ^{x}cdot 125 ^{x}=8000cdot 125 \\ (8cdot 125) ^{x}=1000000 \ (1000) ^{x}=(1000) ^{2} \ x=2$