How to solve: $\,\,8^x=6x$
I am stuck on the following problem which one of my friends gave me:
Solve: $8^x=6x$.
We see that $$8^x=6x \implies 2^{3x}=6x$$. Now I am not sure how to
proceed further. Taking logarithm on both sides of the equation does not
help much. Clearly, $x=\frac 1 3$ satisfies the given equation but I am
not sure how to get it .
Can someone help? Thanks and regards to all.
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