How do you solve this?

 

$$\\4logx^{3}-3logx^{2}=12\\
log(x^3)^4-log(x^{2})^3=12\\
log(x^{12})-log(x^6)=12\\
log(\frac{x^{12}}{x^6})=12\\
log\;x^{6}=12\\
6log\;x=12\\
log\;x=2\\
10^{log\;x}=10^2\\
x=100$$

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