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joshhaz
joshhaz asked in Science & MathematicsMathematics · 9 years ago

please help me with this logarithm problem, it seems so easy!!!?

Solve for x given: log3(x + 1) = 2 + log3 4

3 Answers

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  • Name Deleted
    Lv 4
    9 years ago
    Favorite Answer

    log3(x + 1) = 2 + log3 4

    rewrite 2 in the form of log3 x

    log3(x + 1) = log3 (3^2) + log3 4

    sum to product rule

    log3(x + 1) = log3 (3^2 * 4)

    exponentiate both sides by base 3 (raise 3 to the power of both sides)

    x + 1 = 3^2 * 4

    subtract over the one and simplify

    x = 35

  • Ryan
    Lv 6
    9 years ago

    log3(x + 1) = 2 + log3 4

    log3(x + 1) - log3(4) = 2

    log3((x+1)/4) = 2

    3^2 = (x+1)/4

    9 = (x+1)/4

    36 = x+1

    x = 35

  • climberguy12
    Lv 7
    9 years ago

    3^both sides

    x+1=3^2*4 (3^(2+log3(4)) becomes 3^2*3^log3(4). exponent rule)

    x+1=36

    x=35

    make it a good day

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