What is expand log_{5}(x^{4y^3}) ?

The solution to expand log_{5}(x^{4y^3}) is 4y^3log_{5}(x)

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expand log_{5}(x^{4y^3})

expand

lo g_{5} (x^{4 y^{3}})

4 y^{3} lo g_{5} (x)

Solution steps

lo g_{5} (x^{4 y^{3}})

Apply log rule:

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

lo g_{5} (x^{4 y^{3}}) = 4 y^{3} lo g_{5} (x)

= 4 y^{3} lo g_{5} (x)

2 ln (\frac{x ^{2}}{y z ^{3}})

ln (\frac{x}{y ^{22}})

ln (3 e^{\frac{1}{2} x})

ln (\frac{40 e}{( 20 e - 1 )})

3 lo g_{10} (3)

What is expand log_{5}(x^{4y^3}) ?
The solution to expand log_{5}(x^{4y^3}) is 4y^3log_{5}(x)