Question

Calcule:
A)Log5 625=x
b)Log 100=x
c)Log³ 27=x

Answer 1

$a)\;\log_{5}{625}=x\Longrightarrow5^x=625\Longrightarrow5^x=5^4\Longrightarrow\boxed{x=4}\\\\ b)\;\log{100}=x\Longrightarrow10^x=100\Longrightarrow10^x=10^2\Longrightarrow\boxed{x=2}\\\\ c)\;\log_{3}{27}=x\Longrightarrow3^x=27\Longrightarrow3^x=3^3\Longrightarrow\boxed{x=3}$