What is 2log_{2}(3)+log_{2}(x) ?

The solution to 2log_{2}(3)+log_{2}(x) is log_{2}(9x)

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simplify 2log_{2}(3)+log_{2}(x)

simplify

2 lo g_{2} (3) + lo g_{2} (x)

lo g_{2} (9 x)

Solution steps

2 lo g_{2} (3) + lo g_{2} (x)

Apply log rule:

b \cdot lo g_{a} (x) = lo g_{a} (x^{b})

2 lo g_{2} (3) = lo g_{2} (3^{2})

= lo g_{2} (3^{2}) + lo g_{2} (x)

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{2} (3^{2}) + lo g_{2} (x) = lo g_{2} (3^{2} x)

= lo g_{2} (3^{2} x)

Simplify

3^{2} x : 9 x

= lo g_{2} (9 x)

ln (\frac{12}{\frac{7.02}{0.0445}})

5 lo g_{4} (a) + 6 lo g_{4} (b) - \frac{1}{3} lo g_{4} (7 c)

lo g_{10} (y) + lo g_{10} (z)

lo g_{4} (\frac{x - 2}{x ^{5}})

What is 2log_{2}(3)+log_{2}(x) ?
The solution to 2log_{2}(3)+log_{2}(x) is log_{2}(9x)