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21 August, 02:35

Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x, and log y.

log x^3 y^4

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  1. 21 August, 02:41
    0
    log x³ y⁴ = 3 log (x) + 4 log (y)

    Step-by-step explanation:

    Given function log x³ y⁴

    step (i) : -

    Applying logarithmic formula

    log (a b) = log (a) + log (b)

    log x³ y⁴ = log (x³) + log (y⁴)

    step (ii) : -

    Applying logarithmic formula

    log (x ⁿ) = n log x

    log x³ y⁴ = log (x³) + log (y⁴)

    log x³ y⁴ = 3 log (x) + 4 log (y)

    final answer:-

    log x³ y⁴ = 3 log (x) + 4 log (y)
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