What is 3log_{10}(4)+2log_{10}(x) ?

The solution to 3log_{10}(4)+2log_{10}(x) is log_{10}(64x^2)

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simplify 3log_{10}(4)+2log_{10}(x)

simplify

3 lo g_{10} (4) + 2 lo g_{10} (x)

lo g_{10} (64 x^{2})

Solution steps

3 lo g_{10} (4) + 2 lo g_{10} (x)

3 lo g_{10} (4) = lo g_{10} (4^{3})

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

= lo g_{10} (4^{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} (4^{3}) + lo g_{10} (x^{2}) = lo g_{10} (4^{3} x^{2})

= lo g_{10} (4^{3} x^{2})

Simplify

4^{3} x^{2} : 64 x^{2}

= lo g_{10} (64 x^{2})

ln (\frac{x}{y ^{5} z})

3 lo g_{10} (2) + 2 lo g_{10} (5)

ln (3.61 \cdot 1 0^{- 11})

lo g_{10} (\frac{x ^{15} y ^{17}}{z ^{13}})

ln (x (x + 1) (x + 2))

What is 3log_{10}(4)+2log_{10}(x) ?
The solution to 3log_{10}(4)+2log_{10}(x) is log_{10}(64x^2)