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(24^x)=9/(x * square root of 3) find the value of "x",

We are asked to solve ` 24^x=9/(xsqrt(3)) ` :


We can multiply both sides by x and simplify the right-hand side to get:


`x*24^x=3sqrt(3) `


I do not know of a simple algebraic way to solve this. We can use a graphing utility to graph the left side and the right side on the same coordinate axis and find the intersection. This yields `x~~.65275103 `


The graphs:


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