Question

The value of 3 power log 81 base 9

Answer 1

$\huge\rm\underline\red{SOLUTION :}$

${3}^{( log_{9}81) } \\ \\ ={3}^{( log_{9}{9}^{2} ) } \\ \\ = {3}^{2( log_{9}9 )} \\ \\ = {3}^{2(1)} = 3 {}^{2} = 9$

$\large\rm\bold{\boxed{log_a a\:=\:1}}$

$\large\rm\bold{\boxed{log_a a^m\:=\:mlog_a a}}$

Answer 2

Answer:

SOLUTION

Step-by-step explanation:

3

(log

9

81)

=3

(log

9

9

2

)

=3

2(log

9

9)

=3

2(1)

=3

2

=9

\large\rm\bold{\boxed{log_a a\:=\:1}}

log

a

a=1

\large\rm\bold{\boxed{log_a a^m\:=\:mlog_a a}}

log

a

a

m

=mlog

a

a