Simplify the following please log_(3)27 + 2 log_(3)9 - log_(3)54 ​

Question

Simplify the following please

`log_(3)27 + 2 log_(3)9 - log_(3)54`
​

Answer 1

4 - log3 (2)

Explanation:

2log3 (9) = log3 (9^2)

log3 (27 * 9^2 / 54)

log3 ( 3^3 * 3^4 / 9 * 6)

log3 (3^7 / 3^2 * 3 * 2)

log3 (3^7 / 3^3 * 2)

log3 ( 3^4 /2)

log3 (3^4) - log3 (2)

4 - log3 (2)