Problem 20 of 7
Solve exponential equation 2^(x-1)=16 by rewriting with common bases.
Hints
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equate exponents when bases match.
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Equate exponents when bases match for powers of 2, 3, 5, or 10.
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Solution
Walkthrough
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1. Rewrite each side as a power of the same base.
2. Set exponents equal.
3. Solve the resulting linear equation.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Equating exponents before bases match.