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    Exponential equation

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    (In this problem, the notation b^x stands for "b to the power x"; for example, b^2 stands for "b squared".)
    (A) Simplify the expression: 10^(3x-1)10^(4-x).
    (B) Solve the following equation for x: 5^(3x)=5^(4x-2).
    (C) Solve the following equation for x: (1-x)^5=(2x-1)^5.

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    Solution Summary

    This shows how to simplify and solve exponential expressions.