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$7^a=\sqrt[3]{7}$

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Find derivatives using the quotient rule II

Full solution

Q.

7^a=\sqrt[3]{7}

Express with Same Base: To solve for $a$ in the equation $7^a = \sqrt[3]{7}$ , we need to express both sides of the equation with the same base and then equate the exponents.
Rewrite Equation: The cube root of $7$ can be written as $7^{1/3}$ . So, we can rewrite the equation as $7^a = 7^{1/3}$ .
Set Exponents Equal: Since the bases are the same $7$ , we can set the exponents equal to each other. This gives us $a = \frac{1}{3}$ .
Check for Errors: We check for any mathematical errors. The steps followed are standard for solving exponential equations with the same base, and no errors have been made.

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