What is 2log_{10}(x)+log_{10}(a) ?

The solution to 2log_{10}(x)+log_{10}(a) is log_{10}(x^2a)

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simplify 2log_{10}(x)+log_{10}(a)

simplify

2 lo g_{10} (x) + lo g_{10} (a)

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

Solution steps

2 lo g_{10} (x) + lo g_{10} (a)

Apply log rule:

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

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

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

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

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

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

ln (4 e^{- 4})

3 ln (x + 2) - ln (x + 1)

3.85 + lo g_{10} (\frac{0.55}{0.85})

lo g_{9} (\frac{( y ^{- 2} z )}{3 x ^{3}})

ln (\frac{x y ^{9}}{( z + 3 ) ^{6}})

What is 2log_{10}(x)+log_{10}(a) ?
The solution to 2log_{10}(x)+log_{10}(a) is log_{10}(x^2a)