How would you simplify (log 27/logx) x (log x^2/log3)? i don’t think i did this correctly.

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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

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