Question
Express the following logarithmic equations in exponential form:
$\log _{\frac{1}{2}}(8)=-3$
✓
Answer
$\log _{\frac{1}{2}}(8)=-3$
$\therefore \quad 8=\left(\frac{1}{2}\right)^{-3}$,i.e., $\left(\frac{1}{2}\right)^{-3}=8$
$\therefore \quad 8=\left(\frac{1}{2}\right)^{-3}$,i.e., $\left(\frac{1}{2}\right)^{-3}=8$
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