What is 3*log_{a}(2)+2*log_{a}(3) ?

The solution to 3*log_{a}(2)+2*log_{a}(3) is log_{a}(72)

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

simplify

3 \cdot lo g_{a} (2) + 2 \cdot lo g_{a} (3)

lo g_{a} (72)

Solution steps

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

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

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

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

Apply log rule:

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

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

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

2^{3} \cdot 3^{2} = 72

= lo g_{a} (72)

(- 2 x + 7)^{2} - (3 x - 6) + 4 x

\frac{( x ^{- 3} )}{( x ^{3} )}

8 x y^{2} - 18 x y

(6 x - y)^{3} - (6 x + y)^{3}

5 (a + b)

What is 3*log_{a}(2)+2*log_{a}(3) ?
The solution to 3*log_{a}(2)+2*log_{a}(3) is log_{a}(72)