Wright Elliott
04/19/2023 · Junior High School
Solve for the unknown variable. \[ 9^{\boldsymbol{m - 7}}=\mathbf{1} \]
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Tutor-Verified Answer
Step-by-step Solution
Solve the equation \( 9^{m-7}=1 \).
Solve the equation by following steps:
- step0: Solve for \(m\):
\(9^{m-7}=1\)
- step1: Rewrite in exponential form:
\(9^{m-7}=9^{0}\)
- step2: Set the exponents equal:
\(m-7=0\)
- step3: Move the constant to the right side:
\(m=0+7\)
- step4: Remove 0:
\(m=7\)
The solution to the equation \(9^{m-7}=1\) is \(m=7\).
Quick Answer
\( m=7 \).
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