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13 July, 20:58

Explain how solve 4^x+3 = 7 using the change of base formula log base b of y equals log y over log b. Include the solution for x in your answer. Round your answer to the nearest thousandth.

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  1. 13 July, 21:05
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    x = 1.000

    Step-by-step explanation:

    Subtract 3 from the given equation and you have ...

    4^x = 4

    Taking logarithms to the base 4, you get ...

    x = log₄ (4)

    Using the change of base formula, this is ...

    x = log (4) / log (4) = 1

    x = 1.000
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