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    Algebra: Logarithms

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    1. The value of e ln 1+ ln 2+ ln 3 is ?
    2. If logN(25) - logN(81) = 2, then N is?
    3. Solve for x: log5( x) + log5(2x +13) = log5(24)
    4. Find the coefficient of the fourth term in the expansion of (2x +3y)^11

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    https://brainmass.com/math/basic-algebra/algebra-logarithms-solve-solve-base-9432

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    1.)
    exp(ln(1) +ln(2) + ln(3))
    = exp(ln(1*2*3)) (because ln(a) + ln(b) = ln(a*b))
    = exp(ln(6))
    = 6 (because e^(log_base_e (x)) = x) --Answer

    2.)
    log_base_N(25) - log_base_N(81) = 2
    => log_base_N(25/81) = 2 (because log(m) - log(n) = log(m/n))
    =>N^2 = 25/81 (because ...

    Solution Summary

    Logarithm problems are solved. Algebraic functions are analyzed for logarithms.

    $2.19

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