What is expand log_{10}(sqrt(x^3y-12)) ?

The solution to expand log_{10}(sqrt(x^3y-12)) is 1/2 log_{10}(x^3y-12)

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expand log_{10}(sqrt(x^3y-12))

expand

lo g_{10} (x^{3} y - 12)

\frac{1}{2} lo g_{10} (x^{3} y - 12)

Solution steps

lo g_{10} (x^{3} y - 12)

Rewrite as

= lo g_{10} ((x^{3} y - 12)^{\frac{1}{2}})

Apply log rule

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

assuming

x \geq 0

= \frac{1}{2} lo g_{10} (x^{3} y - 12)

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\frac{20 ( 25 e ^{- \frac{x}{25}} x - 250 e ^{- \frac{x}{25}} )}{x}

\frac{π ( 32 2 - 40 )}{15}

x (e^{x} + x e^{x})

\frac{6}{( x - 6 ) ( x + 1 )}

What is expand log_{10}(sqrt(x^3y-12)) ?
The solution to expand log_{10}(sqrt(x^3y-12)) is 1/2 log_{10}(x^3y-12)