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

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

Popular >

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

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

lo g_{10} (\frac{2 \cdot 1 0 ^{- 3}}{1 0 ^{- 12}})

ln (\frac{( s - 1 )}{s - 5})

\frac{lo g _{e} ( a )}{2} - lo g_{e} (b) - 3 lo g_{e} (c)

lo g_{10} (0.37 x)

ln (\frac{82.14}{500})

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