Question

известно, что log(a)b = 2, log(c)b = 3. Найдите: log(ac)^2b​

Answer 1

log(a)b=2     log(c)b=3     log(ac)²b=?

1/log(a)b=1/2

log(b)a=1/2

1/log(c)b=1/3

log(b)c=1/3

log(b)a+log(b)c=(1/2)+(1/3)

log(b)ac=5/6

1/log(b)ac=6/5

log(ac)b=6/5=1,2

log(ac)²b=1,2²=1,44.

Ответ: log(ac)b=1,44.