What is expand log_{4}((x-2)/(x^5)) ?

The solution to expand log_{4}((x-2)/(x^5)) is log_{4}(x-2)-5log_{4}(x)

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expand log_{4}((x-2)/(x^5))

expand

lo g_{4} (\frac{x - 2}{x ^{5}})

lo g_{4} (x - 2) - 5 lo g_{4} (x)

Solution steps

lo g_{4} (\frac{x - 2}{x ^{5}})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{4} (\frac{x - 2}{x ^{5}}) = lo g_{4} (x - 2) - lo g_{4} (x^{5})

= lo g_{4} (x - 2) - lo g_{4} (x^{5})

Apply log rule:

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

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

= lo g_{4} (x - 2) - 5 lo g_{4} (x)

\frac{ln ( 4 )}{ln ( 4 ) - ln ( 5 )}

- (ln (6) - ln (5)) \cdot 5

lo g_{p} (\frac{3 ^{2} \cdot 4 ^{3} \cdot p ^{8} \cdot d ^{5}}{5 ^{4} \cdot 7 ^{3} \cdot p ^{4}})

f (x) = 2 ln (5 x^{2}) - ln (2 x^{2})

1.1 - \frac{0.0257}{2} ln (\frac{0.25}{1})

What is expand log_{4}((x-2)/(x^5)) ?
The solution to expand log_{4}((x-2)/(x^5)) is log_{4}(x-2)-5log_{4}(x)