Answer:
6
Step-by-step explanation:
logx 27 * log3 x^2
The first step is to convert to base 10
(log 27/logx) * (log x^2/log3)
27 = 3^3 so we can rewrite this
(log 3^3/logx) * (log x^2/log3)
log a^b = b log a
(3 log 3/logx) * (2log x/log3)
We can cancel the log x in the numerator and denominator and the log 3 in the numerator and denominator
3 * 2
6
