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13 December, 08:23

Solve 3 ^ x + 6 = 3 ^ 4

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  1. 13 December, 08:40
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    3.93 (approx.)

    Step-by-step explanation:

    3 ^ x + 6 = 3 ^ 4 can be rewritten as 3 ^ x = 3 ^ 4 - 6, or

    3^x = 81 - 6 = 75.

    Then 3^x = 75, or

    x*ln 3 = ln 75

    Solving for x:

    x = (ln 75) / (ln 3) = 3.93 (approx.)
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