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Solution assignment 08 Exponential equations

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Assignment 8

Solve:

\sqrt[3]{5^x}=125

Solution

We rewrite the left- and right-hand side:

\displaystyle\sqrt[3]{5^x}=5^{\frac{x}{3}}

125=5^3

and get:

5^{\frac{x}{3}}=5^3

Thus:

x=9

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