<s>[INST] Logarithmic Equations How does one go about solving: 
$(5x+2)^{\frac{4}{3}} = 16$
I'm confused as how to parse through the equation to solve it using logs.
 [/INST] \begin{align}
&(5x+2)^{\frac{4}{3}} = 16\\\implies
&5x+2 = (16)^{\frac{3}{4}}\\\implies
&5x+2 = (2^4)^{\frac{3}{4}}\\\implies
&5x+2 = 2^3\\\implies
&5x+2 = 8\\\implies
&5x= 6\\\implies
&x=\frac{6}{5}
\end{align}
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