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Convert the exponential equation in logarithmic form.\newline153=337515^3 = 3375

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Full solution

Q. Convert the exponential equation in logarithmic form.\newline153=337515^3 = 3375
  1. Identify Values: 153=3,37515^3 = 3,375 Identify bb, xx, and yy. b=15b = 15 x=3,375x = 3,375 y=3y = 3
  2. Convert to Logarithmic: 153=3,37515^3 = 3,375 Convert the exponential equation to logarithmic equation. Substitute b=15b=15, x=3,375x=3,375, and y=3y=3 in log⁡bx=y\log_{b}x = y. Logarithmic equation: log⁡153,375=3\log_{15}3,375 = 3
  3. Identify Missing Value: log⁡___3,375=3 \log_{\_\_\_} 3,375 = 3 Identify the missing value. 153=3,375 15^3 = 3,375 is equivalent to log⁡(15)3,375=3 \log_{(15)} 3,375 = 3 . Missing value: 15 15

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