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Write the logarithmic equation in exponential form.\newlinelog⁡7373=3\log_7 373 = 3

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Full solution

Q. Write the logarithmic equation in exponential form.\newlinelog⁡7373=3\log_7 373 = 3
  1. Identify Values: log⁡2(8)=3\log_2(8) = 3\newlineIdentify bb, xx, and yy.\newlineCompare log⁡2(8)=3\log_2(8) = 3 with log⁡b(x)=y\log_b(x) = y.\newlineb=2b = 2\newlinex=8x = 8\newliney=3y = 3
  2. Convert to Exponential: \newlinelog⁡2(8)=3\log_2(8) = 3\newlineConvert the logarithmic equation to exponential equation.\newlineSubstitute b=2b = 2, x=8x = 8, and y=3y = 3 in by=xb^y = x.\newlineExponential equation: 23=82^3 = 8

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