What is 3log_{10}(a)-2log_{10}(b) ?

The solution to 3log_{10}(a)-2log_{10}(b) is log_{10}((a^3)/(b^2))

Popular >

simplify 3log_{10}(a)-2log_{10}(b)

simplify

3 lo g_{10} (a) - 2 lo g_{10} (b)

lo g_{10} (\frac{a ^{3}}{b ^{2}})

Solution steps

3 lo g_{10} (a) - 2 lo g_{10} (b)

Apply log rule:

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

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

= lo g_{10} (a^{3}) - 2 lo g_{10} (b)

Apply log rule:

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

2 lo g_{10} (b) = lo g_{10} (b^{2})

= lo g_{10} (a^{3}) - lo g_{10} (b^{2})

Apply log rule:

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

lo g_{10} (a^{3}) - lo g_{10} (b^{2}) = lo g_{10} (\frac{a ^{3}}{b ^{2}})

= lo g_{10} (\frac{a ^{3}}{b ^{2}})

ln^{2} (\frac{1}{4})

ln (\frac{( x - 3 ) ^{4} x}{x + 1})

2 lo g_{10} (x) - lo g_{10} (3)

ln (\frac{2 x ^{4}}{y ^{7}})

\frac{1}{2} ln ∣ 2 x + 1 ∣ + 2 ln ∣ x - 1 ∣ + C

What is 3log_{10}(a)-2log_{10}(b) ?
The solution to 3log_{10}(a)-2log_{10}(b) is log_{10}((a^3)/(b^2))