How to Convert Exponents to Logs

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Since exponents and logarithms are two versions of the same mathematical concept, exponents can be converted to logarithms, or logs. An exponent is a superscript number attached to a value, indicating how many times the value is multiplied by itself. The log is based on exponential powers, and is just a rearrangement of terms. Conversion between the two can aid you in exponent comprehension through viewing it from another angle.

    Declare an expression containing an exponent. For this example, the expression is 9^3, or nine times nine times nine.

    Solve the exponent, then write the exponent and its solution as an equation. For this example, 9^3 results in 729. The equation should read 9^3 = 729, with 9 being the initial number, 3 being the exponent and 729 being the answer.

    Rewrite the initial number as the base of the logarithm, the answer as the number that follows the logarithm base and the exponent as the new answer. For this example, the exponential equation 9^3 = 729 becomes the logarithmic equation log9 729 = 3.


About the Author

Chance E. Gartneer began writing professionally in 2008 working in conjunction with FEMA. He has the unofficial record for the most undergraduate hours at the University of Texas at Austin. When not working on his children's book masterpiece, he writes educational pieces focusing on early mathematics and ESL topics.

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