What is 3log_{10}(3)-3log_{10}(x) ?

The solution to 3log_{10}(3)-3log_{10}(x) is log_{10}((27)/(x^3))

Popular >

simplify 3log_{10}(3)-3log_{10}(x)

simplify

3 lo g_{10} (3) - 3 lo g_{10} (x)

lo g_{10} (\frac{27}{x ^{3}})

Solution steps

3 lo g_{10} (3) - 3 lo g_{10} (x)

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

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

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

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{10} (3^{3}) - lo g_{10} (x^{3}) = lo g_{10} (\frac{3 ^{3}}{x ^{3}})

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

Simplify

\frac{3 ^{3}}{x ^{3}} : \frac{27}{x ^{3}}

= lo g_{10} (\frac{27}{x ^{3}})

lo g_{b} (15) - 3 lo g_{b} (12)

2 lo g_{10} (5) - 2 lo g_{10} (x)

ln (2 u) - ln (\frac{u}{2})

lo g_{a} (3 x yz)

14 + lo g_{10} (1.8 \cdot 1 0^{- 5})

What is 3log_{10}(3)-3log_{10}(x) ?
The solution to 3log_{10}(3)-3log_{10}(x) is log_{10}((27)/(x^3))