Question

$log_{5}8*log_{16}125$
Вычислите

Answer 1

log₅8*log₁₆126=2,25

1.  log₅8=log₅2³=3*log₅2

2.log₁₆125=log₅16/log₅125=log₅5³/log₅2⁴=(3*log₅5)/(4*log₅2)=3/(4*log₅2)
3.  3*log₅2*3/(4log₅2)=9/4=2,25