Question

Найдите х,если log2 x=2log2 5-1/3log2 8+log2 0,2

Answer 1

log2x=2log2 5-1/3log2 8+log2 0,2
log2x=log2 25- log2 2+ log 2 (1/5)
log2x=log2 25-1+log2 1- log2 5
log2x=log2 25-1+0- log2 25
log2 x= log2 25/5
log2x=log2 5
x=5
ответ: 5