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

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

Popular >

simplify 3log_{10}(x)-5log_{10}(y)

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

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

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

lo g_{b} (\frac{p ^{2} q ^{5}}{m ^{5} b ^{7}})

lo g_{5} (11) - lo g_{5} (9)

\frac{2}{3} lo g_{2} (5)

ln (x^{7} e^{- 2 x^{2}})

lo g_{x} (4 a) + 2 lo g_{x} (a) - 3 lo g_{x} (a)

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