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Write the exponential equation in logarithmic form. 1632=64\newline 16^{\frac{3}{2}} = 64

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Full solution

Q. Write the exponential equation in logarithmic form. 1632=64\newline 16^{\frac{3}{2}} = 64
  1. Identify variables: 163/2=6416^{3/2} = 64 Identify bb, xx, and yy. b=16b = 16 x=64x = 64 y=32y = \frac{3}{2}
  2. Convert to logarithmic form: Convert the exponential equation to logarithmic form. log⁡b(x)=y \log_b(x) = y log⁡16(64)=32 \log_{16}(64) = \frac{3}{2}
  3. Check conversion: Check the conversion. Exponential equation: 163/2=6416^{3/2} = 64 Logarithmic equation: ext{log}_{16}(64) = rac{3}{2}

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