Alg9.4.5

Find the value of $\log_5(125)\,$

Expressing the log number in terms of the base,we get

$\log_5(5^3)\,$

As per the formula $log_a(a^m)=m\log(a)\,$

we get

$3\log_5(5)\,$

Again,applying the rule that the logarithm of a value with respect to the same value is 1

we get

$3\log_5(5)=3(1)\,$

Hence the solution is

$\log_5(125)=3\,$