Question
Qu) Listen Rewrite \( \log _{1 / 2} 16=-4 \) in exponential form. \( \square=\square \)
Ask by O'Quinn Boyd. in the United States
Mar 16,2025
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Answer
\[
\left(\frac{1}{2}\right)^{-4} = 16
\]
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To rewrite the equation \( \log _{1 / 2} 16=-4 \) in exponential form, we need to understand the relationship between logarithms and exponents. This can be expressed as: \( \left(\frac{1}{2}\right)^{-4} = 16 \) In this form, we clearly see that raising \( \frac{1}{2} \) to the power of \(-4\) gives us \( 16 \). And since raising a fraction to a negative exponent inverts the fraction, that's how we arrive at the equation. Easy peasy!