What is expand log_{a}(12x^3sqrt(y)) ?

The solution to expand log_{a}(12x^3sqrt(y)) is log_{a}(12)+3log_{a}(x)+log_{a}(sqrt(y))

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expand log_{a}(12x^3sqrt(y))

expand

lo g_{a} (12 x^{3} y)

lo g_{a} (12) + 3 lo g_{a} (x) + lo g_{a} (y)

Solution steps

lo g_{a} (12 x^{3} y)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{a} (12 x^{3} y) = lo g_{a} (12) + lo g_{a} (x^{3}) + lo g_{a} (y)

= lo g_{a} (12) + lo g_{a} (x^{3}) + lo g_{a} (y)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{a} (x^{3}) = 3 lo g_{a} (x)

= lo g_{a} (12) + 3 lo g_{a} (x) + lo g_{a} (y)

ln (\frac{( \frac{0.302}{0.294} )}{9.9})

- lo g_{10} (2.4 \cdot 1 0^{- 3})

6 ln (x - 3) - ln (x^{2} - 8 x + 15) + 2 ln (x - 5)

ln (a e^{(- k t)})

ln (6) + ln (\frac{e ^{(2.47909)}}{3})

What is expand log_{a}(12x^3sqrt(y)) ?
The solution to expand log_{a}(12x^3sqrt(y)) is log_{a}(12)+3log_{a}(x)+log_{a}(sqrt(y))