What is 1/2 log_{10}(x)+3log_{10}(x+1) ?

The solution to 1/2 log_{10}(x)+3log_{10}(x+1) is log_{10}(x^{1/2}(x+1)^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/2 log_{10}(x)+3log_{10}(x+1)

simplify

\frac{1}{2} lo g_{10} (x) + 3 lo g_{10} (x + 1)

lo g_{10} (x^{\frac{1}{2}} (x + 1)^{3})

Solution steps

\frac{1}{2} lo g_{10} (x) + 3 lo g_{10} (x + 1)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

\frac{1}{2} lo g_{10} (x) = lo g_{10} (x^{\frac{1}{2}})

= lo g_{10} (x^{\frac{1}{2}}) + 3 lo g_{10} (x + 1)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

= lo g_{10} (x^{\frac{1}{2}}) + lo g_{10} ((x + 1)^{3})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{10} (x^{\frac{1}{2}}) + lo g_{10} ((x + 1)^{3}) = lo g_{10} (x^{\frac{1}{2}} (x + 1)^{3})

= lo g_{10} (x^{\frac{1}{2}} (x + 1)^{3})

lo g_{10} (6) - lo g_{10} (2)

lo g_{10} (\frac{y z ^{5}}{x ^{3}})

lo g_{2} (x (x - 1))

lo g_{b} (\frac{x ^{3} y}{z ^{3}})

lo g_{10} (6 \cdot 11)

What is 1/2 log_{10}(x)+3log_{10}(x+1) ?
The solution to 1/2 log_{10}(x)+3log_{10}(x+1) is log_{10}(x^{1/2}(x+1)^3)