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

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

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

simplify

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

lo g_{x} (72)

Solution steps

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

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

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

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

Apply log rule:

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

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

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

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

= lo g_{x} (72)

6 lo g_{b} (x) + 9 lo g_{b} (z)

lo g_{2} (4 x^{2})

ln (\frac{k ^{3}}{m ^{8}})

ln (x^{7} - 1) - ln (x^{5} - 1)

lo g_{3} (\frac{27 b ^{3} y ^{2} - 1}{y ( x + 1 ) ^{2}})

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