Question

Logarithmic form of a^b=c

Answer 1

${a}^{b} = c \\ \\ = > log( {a}^{b} ) = log(c) \\ \\ = > b log(a) = log(c)$

Answer 2

Answer:

$\huge\boxed{\log_ac=b}$

Step-by-step explanation:

Definition of a logarithm:

$\log_ab=c\iff a^c=b\\\\\text{for}\ a\neq1\ \wedge\ a>0\ \wedge\ b>0$

$a^b=c\Rightarrow \log_ac=b\\\\\text{for}\ a\neq1\ \wedge\ a>0\ \wedge\ c>0$