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

The solution to 3log_{10}(2)+2log_{10}(x) is log_{10}(8x^2)

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

simplify

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

lo g_{10} (8 x^{2})

Solution steps

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

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

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

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

Apply log rule:

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

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

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

Simplify

2^{3} x^{2} : 8 x^{2}

= lo g_{10} (8 x^{2})

lo g_{6} (\frac{6 x ^{4}}{5})

2 lo g_{3} (k) - 5 lo g_{3} (m) + lo g_{3} (n + 3)

lo g_{3} (2 x - 3) - lo g_{3} (x + 6)

lo g_{4} (6) + 2 lo g_{4} (x)

ln (\frac{21}{8})

What is 3log_{10}(2)+2log_{10}(x) ?
The solution to 3log_{10}(2)+2log_{10}(x) is log_{10}(8x^2)