What is 3log_{10}(x)-4log_{10}(y) ?

The solution to 3log_{10}(x)-4log_{10}(y) is log_{10}((x^3)/(y^4))

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simplify 3log_{10}(x)-4log_{10}(y)

simplify

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

lo g_{10} (\frac{x ^{3}}{y ^{4}})

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 lo g_{10} (x) = lo g_{10} (x^{3})

= lo g_{10} (x^{3}) - 4 lo g_{10} (y)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

= lo g_{10} (x^{3}) - lo g_{10} (y^{4})

Apply log rule:

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

lo g_{10} (x^{3}) - lo g_{10} (y^{4}) = lo g_{10} (\frac{x ^{3}}{y ^{4}})

= lo g_{10} (\frac{x ^{3}}{y ^{4}})

lo g_{2} (\frac{6 x}{y})

lo g_{10} (\frac{10}{0.1})

lo g_{2} (\frac{n}{2})

What is 3log_{10}(x)-4log_{10}(y) ?
The solution to 3log_{10}(x)-4log_{10}(y) is log_{10}((x^3)/(y^4))