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Write the exponential equation in logarithmic form.\newline93=7299^3 = 729\newlinelog⁡□729=3\log_\square 729 = 3

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Q. Write the exponential equation in logarithmic form.\newline93=7299^3 = 729\newlinelog⁡□729=3\log_\square 729 = 3
  1. Exponential and Logarithmic Forms: Understand the relationship between exponential and logarithmic forms.\newlineAn exponential equation of the form by=xb^y = x can be rewritten in logarithmic form as log⁡bx=y\log_b x = y, where bb is the base, yy is the exponent, and xx is the result.
  2. Components of Exponential Equation: Identify the components of the exponential equation.\newlineIn the equation 93=7299^3 = 729, the base (b)(b) is 99, the exponent (y)(y) is 33, and the result (x)(x) is 729729.
  3. Conversion to Logarithmic Form:Convert the exponential equation to logarithmic form. \newlineby=xb^y = x can be rewritten as log⁡bx=y\log_b x = y. \newline 93=7299^3 = 729 can be rewritten as log⁡9729=3\log_9 729 = 3.

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