Question

Evaluate: log 9 base 81

Answer 1

Step-by-step explanation:

hope it is helpfull for you

Answer 2

$\star\bold\red{Solution:-}$

$\implies$log 9 81 $\implies$ log9 9²

Now , we know,

From logarithm properties that

$\implies$log a^b = b* log a

$\implies$log9 9² = 2*log9 9

$\implies$log9 81 = 2*log9 9

Now we know that loga a = 1

$\implies$log9 81 = 2*log9 9 = 2*1 = 2

Hence, the exact value of log9 81 = 2