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

The solution to log_{10}(x)+5log_{10}(y) is log_{10}(xy^5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(x)+5log_{10}(y)

simplify

lo g_{10} (x) + 5 lo g_{10} (y)

lo g_{10} (x y^{5})

Solution steps

lo g_{10} (x) + 5 lo g_{10} (y)

Apply log rule:

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

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

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

Apply log rule:

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

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

= lo g_{10} (x y^{5})

5 ln (\frac{b}{24}) + 6 ln (\frac{b}{30}) + 9 ln (\frac{b}{40})

ln (\frac{3}{2.9})

ln (5 x sin (x))

- 0.01386 \cdot ln (\frac{523}{298}) - 0.19867

\frac{( ln ( 7 ) - ln ( 3 ) )}{( 1.33 - 0.926 )}

What is log_{10}(x)+5log_{10}(y) ?
The solution to log_{10}(x)+5log_{10}(y) is log_{10}(xy^5)