What is 2log_{10}(2)+log_{10}(3) ?

The solution to 2log_{10}(2)+log_{10}(3) is log_{10}(12)

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simplify 2log_{10}(2)+log_{10}(3)

simplify

2 lo g_{10} (2) + lo g_{10} (3)

lo g_{10} (12)

Decimal Notation

1.07918 \dots

Solution steps

2 lo g_{10} (2) + lo g_{10} (3)

Apply log rule:

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

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

= lo g_{10} (2^{2}) + lo g_{10} (3)

Apply log rule:

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

lo g_{10} (2^{2}) + lo g_{10} (3) = lo g_{10} (2^{2} \cdot 3)

= lo g_{10} (2^{2} \cdot 3)

2^{2} \cdot 3 = 12

= lo g_{10} (12)

ln (\frac{y}{2 ^{y}} \cdot (2 - x)^{y - 1})

\frac{1}{2} ln (a) + \frac{1}{2} ln (b)

ln (\frac{z + r ^{2} + z ^{2}}{- z + r ^{2} + z ^{2}})

6 ln (4 x)

- ln (\frac{1}{10})

What is 2log_{10}(2)+log_{10}(3) ?
The solution to 2log_{10}(2)+log_{10}(3) is log_{10}(12)