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Convert the exponential equation in logarithmic form.\newline843=168^{\frac{4}{3}} = 16

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Full solution

Q. Convert the exponential equation in logarithmic form.\newline843=168^{\frac{4}{3}} = 16
  1. Identify variables: Identify bb, xx, and yy. Compare 84/3=168^{4/3} = 16 with by=xb^y = x. b=8b = 8 x=16x = 16 y=43y = \frac{4}{3}
  2. Convert to logarithmic form: Convert the exponential equation to logarithmic form. Substitute b=8b=8, x=16x=16, and y=43y=\frac{4}{3} in log⁡b(x)=y\log_b(x) = y. Logarithmic equation: log⁡8(16)=43\log_8(16) = \frac{4}{3}
  3. Find missing value: Identify the missing value in log⁡_16=43 \log_{\_} 16 = \frac{4}{3} . log⁡8(16)=43 \log_8(16) = \frac{4}{3} Missing value: 8 8

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