What is 3log_{10}(4)-1log_{10}(x) ?

The solution to 3log_{10}(4)-1log_{10}(x) is log_{10}((64)/x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3log_{10}(4)-1log_{10}(x)

simplify

3 lo g_{10} (4) - 1 lo g_{10} (x)

lo g_{10} (\frac{64}{x})

Solution steps

3 lo g_{10} (4) - 1 \cdot lo g_{10} (x)

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

- 1 \cdot lo g_{10} (x) = - lo g_{10} (x^{1})

= lo g_{10} (4^{3}) - lo g_{10} (x^{1})

Apply log rule:

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

lo g_{10} (4^{3}) - lo g_{10} (x^{1}) = lo g_{10} (\frac{4 ^{3}}{x ^{1}})

= lo g_{10} (\frac{4 ^{3}}{x ^{1}})

Simplify

\frac{4 ^{3}}{x ^{1}} : \frac{64}{x}

= lo g_{10} (\frac{64}{x})

- lo g_{10} (\frac{3}{8})

lo g_{10} (\frac{11 x}{3})

- lo g_{10} (1.8 \times 1 0^{- 4})

ln (2 (2))

ln (\frac{r}{7 s})

What is 3log_{10}(4)-1log_{10}(x) ?
The solution to 3log_{10}(4)-1log_{10}(x) is log_{10}((64)/x)