What is log_{10}((x^5)/(y^3)) ?

The solution to log_{10}((x^5)/(y^3)) is 5log_{10}(x)-3log_{10}(y)

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simplify log_{10}((x^5)/(y^3))

simplify

lo g_{10} (\frac{x ^{5}}{y ^{3}})

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

Solution steps

lo g_{10} (\frac{x ^{5}}{y ^{3}})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{x ^{5}}{y ^{3}}) = lo g_{10} (x^{5}) - lo g_{10} (y^{3})

= lo g_{10} (x^{5}) - lo g_{10} (y^{3})

lo g_{10} (x^{5}) = 5 lo g_{10} (x)

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

= 5 lo g_{10} (x) - 3 lo g_{10} (y)

lo g_{2} (\frac{8}{x + 4})

lo g_{2} (x) - lo g_{2} (x^{8})

3 \cdot lo g_{2} (p) + 7 \cdot lo g_{2} (q)

lo g_{7} (x) - lo g_{7} (x^{8})

2 lo g_{10} (x) - lo g_{10} (x - 1)

What is log_{10}((x^5)/(y^3)) ?
The solution to log_{10}((x^5)/(y^3)) is 5log_{10}(x)-3log_{10}(y)