What is 4log_{10}(5)+3log_{10}(x) ?

The solution to 4log_{10}(5)+3log_{10}(x) is log_{10}(625x^3)

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simplify 4log_{10}(5)+3log_{10}(x)

simplify

4 lo g_{10} (5) + 3 lo g_{10} (x)

lo g_{10} (625 x^{3})

Solution steps

4 lo g_{10} (5) + 3 lo g_{10} (x)

4 lo g_{10} (5) = lo g_{10} (5^{4})

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

= lo g_{10} (5^{4}) + lo g_{10} (x^{3})

Apply log rule:

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

lo g_{10} (5^{4}) + lo g_{10} (x^{3}) = lo g_{10} (5^{4} x^{3})

= lo g_{10} (5^{4} x^{3})

Simplify

5^{4} x^{3} : 625 x^{3}

= lo g_{10} (625 x^{3})

ln (\frac{2 + x}{2 - x})

ln (x^{5} \cdot 25 0^{5 x} \cdot \frac{1}{40 3 ^{x + 1}})

lo g_{5} (x + 6) - lo g_{5} (4)

\frac{7.2}{150} ln (\frac{1}{0.03})

\frac{1}{2} lo g_{10} (9 x - 6) - \frac{1}{2} lo g_{10} (x + 6)

What is 4log_{10}(5)+3log_{10}(x) ?
The solution to 4log_{10}(5)+3log_{10}(x) is log_{10}(625x^3)