What is 5log_{10}(x)+7log_{10}(y) ?

The solution to 5log_{10}(x)+7log_{10}(y) is log_{10}(x^5y^7)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5log_{10}(x)+7log_{10}(y)

simplify

5 lo g_{10} (x) + 7 lo g_{10} (y)

lo g_{10} (x^{5} y^{7})

Solution steps

5 lo g_{10} (x) + 7 lo g_{10} (y)

Apply log rule:

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

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

= lo g_{10} (x^{5}) + 7 lo g_{10} (y)

Apply log rule:

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

7 lo g_{10} (y) = lo g_{10} (y^{7})

= lo g_{10} (x^{5}) + lo g_{10} (y^{7})

Apply log rule:

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

lo g_{10} (x^{5}) + lo g_{10} (y^{7}) = lo g_{10} (x^{5} y^{7})

= lo g_{10} (x^{5} y^{7})

lo g_{10} (\frac{6 x}{y})

ln (\frac{( e ^{x l n (2)} )}{2})

lo g_{5} (6) + lo g_{5} (7)

lo g_{10} (2 x^{4})

lo g_{10} (\frac{R ^{5} S ^{4}}{2 ^{6}})

What is 5log_{10}(x)+7log_{10}(y) ?
The solution to 5log_{10}(x)+7log_{10}(y) is log_{10}(x^5y^7)