What is expand log_{10}(y/(x^4)) ?

The solution to expand log_{10}(y/(x^4)) is log_{10}(y)-4log_{10}(x)

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expand log_{10}(y/(x^4))

expand

lo g_{10} (\frac{y}{x ^{4}})

lo g_{10} (y) - 4 lo g_{10} (x)

Solution steps

lo g_{10} (\frac{y}{x ^{4}})

Apply log rule:

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

lo g_{10} (\frac{y}{x ^{4}}) = lo g_{10} (y) - lo g_{10} (x^{4})

= lo g_{10} (y) - lo g_{10} (x^{4})

Apply log rule:

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

lo g_{10} (x^{4}) = 4 lo g_{10} (x)

= lo g_{10} (y) - 4 lo g_{10} (x)

\frac{2}{3} \cdot lo g_{10} (x) + \frac{1}{3} \cdot lo g_{10} (y)

\frac{1}{2} ln (\frac{c}{b ^{4} a})

ln (x + 1) - ln (x + 2)

lo g_{10} (x^{7})

e^{- 5 x} + 8 ln (2 z^{4})

What is expand log_{10}(y/(x^4)) ?
The solution to expand log_{10}(y/(x^4)) is log_{10}(y)-4log_{10}(x)