Logx^3 * log3x^3 = log9x^3

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To solve this logarithmic equation, we can use the property of logarithms that states log(a) + log(b) = log(ab).

First, use the power rule of logarithms to simplify logx^3 and log3x^3:
logx^3 = 3logx
log3x^3 = 3log3x

Now, apply the property of logarithms:
logx^3 log3x^3 = (3logx) (3log3x)
= 9logx log3x

Now, use the product rule of logarithms to simplify the expression:
log9x^3 = log(9) + log(x^3)
= log(3^2) + log(x^3)
= 2log(3) + 3log(x)

Therefore, logx^3 * log3x^3 does not simplify to log9x^3.