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    IBEasyAlgebra10–12

    Solving an Exponential Equation with Logarithms

    Resolver uma Equação Exponencial com Logaritmos

    Solve 52x+1=2005^{2x + 1} = 200, giving xx correct to three decimal places.

    The unknown sits in the exponent, so you need the operation that brings an exponent down to the front. Apply it to both sides at once and keep the whole exponent together as a single bracket.

    Solution

    Step 1 of 6

    1. 1.Take logarithms of both sides: