Problem

Solve the exponential equation for x.
93x10=(181)16

Answer

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Answer

x=\frac{-1}{18}+\frac{10}{3}

Steps

Step 1 :9^{3x-10}=(81^{-1})^{\frac{1}{6}}

Step 2 :3x-10=\frac{1}{6}(-1)

Step 3 :x=\frac{-1}{18}+\frac{10}{3}

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