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golroo
golroo asked in Science & MathematicsMathematics · 7 years ago

LOGARITHMS QUESTION!?

Simplify the following please:

[(log 19 (125))/ (log 19 (25))]

1 Answer

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  • Rogue
    Lv 7
    7 years ago
    Favorite Answer

    log_19(125)/log_19(25) = log_19(5^3)/log_19(5^2)

    given log(a^n) = nlog(a)

    => log_19(125)/log_19(25) = 3log_19(5)/(2log_19(5))

    reduce the fraction by canceling out common factors

    => log_19(125)/log_19(25) = 3/2 = 1.5

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