What is 2log_{10}(x)+log_{10}(11) ?

The solution to 2log_{10}(x)+log_{10}(11) is log_{10}(x^2*11)

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simplify 2log_{10}(x)+log_{10}(11)

simplify

2 lo g_{10} (x) + lo g_{10} (11)

lo g_{10} (x^{2} \cdot 11)

Solution steps

2 lo g_{10} (x) + lo g_{10} (11)

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} (11)

Apply log rule:

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

lo g_{10} (x^{2}) + lo g_{10} (11) = lo g_{10} (11 x^{2})

= lo g_{10} (x^{2} \cdot 11)

lo g_{10} (\frac{9 x ^{7} y}{x ^{2} y ^{4}})

2 lo g_{10} (0.1) + lo g_{10} (10) + lo g_{10} (0.001) - 5 lo g_{10} (0.0001)

lo g_{3} (13) + lo g_{3} (y)

\frac{1}{6} lo g_{2} (25) - \frac{1}{3} lo g_{2} (10)

lo g_{2} (165) - lo g_{2} (5)

What is 2log_{10}(x)+log_{10}(11) ?
The solution to 2log_{10}(x)+log_{10}(11) is log_{10}(x^2*11)