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1 January, 09:58

Solve for x. 3^x-1=9^x+2

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  1. 1 January, 10:24
    0
    -5 = x

    Step-by-step explanation:

    3^ (x-1) = 9^ (x+2)

    Replace 9 with 3^2

    3^ (x-1) = 3^2^ (x+2)

    We know that a power to a power means the powers are multiplied

    a^b^c = a^ (b*c)

    3^ (x-1) = 3^ (2x+2)

    When the bases are the same, the powers have to be the same

    x-1 = 2x+4

    Subtract x from each side

    x-x-1 = 2x-x+4

    -1 = x+4

    Subtract 4 from each side

    -1-4 = x+4-4

    -1-4 = x

    -5 = x
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