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Convert the exponential equation in logarithmic form.\newline53=1255^3 = 125

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Full solution

Q. Convert the exponential equation in logarithmic form.\newline53=1255^3 = 125
  1. Identify Values: 53=1255^3 = 125 Identify bb, xx, and yy. Compare 53=1255^3 = 125 with by=xb^y = x. b=5b = 5 x=125x = 125 y=3y = 3
  2. Convert to Logarithmic: 53=1255^3 = 125 Convert the exponential equation to logarithmic equation. Substitute b=5b=5, x=125x=125, and y=3y=3 in log⁡bx=y\log_{b}x = y. Logarithmic equation: log⁡5125=3\log_{5}125 = 3
  3. Identify Missing Value: log⁡___125=3 \log_{\_\_\_} 125 = 3 Identify the missing value. 53=125 5^3 = 125 is equivalent to log⁡(5)125=3 \log_{(5)} 125 = 3 . Missing value: 5 5

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