Question

solve this question ​

Answer 1

Step-by-step explanation:

LHS

log12 base 3 × log36 base 3-log4 base 3 × log108 base 3

=log(4×3) base 3 × log36 base 3-(log4 base 3 × log(4×27) base3)

=log3 base 3+ log4 base 3 + 2(log2 base 3+ log3 base 3)

-log4 base 3 {log4 base 3 + 3}

=3 + 2log4 base 3 -3log4 base 3 - (log 4 base 3)square

=3 - log4 base 3{1+ log4 base 3}

=3 - log4 base 3{log3 base 4}

=3 - log4 base 3/log4 base 3

=3 - 1

= 2

= RHS

HENCE PROVED