What is log_{10}(y)+4log_{10}(z) ?

The solution to log_{10}(y)+4log_{10}(z) is log_{10}(yz^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(y)+4log_{10}(z)

simplify

lo g_{10} (y) + 4 lo g_{10} (z)

lo g_{10} (y z^{4})

Solution steps

lo g_{10} (y) + 4 lo g_{10} (z)

Apply log rule:

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

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

= lo g_{10} (y) + lo g_{10} (z^{4})

Apply log rule:

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

lo g_{10} (y) + lo g_{10} (z^{4}) = lo g_{10} (y z^{4})

= lo g_{10} (y z^{4})

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

lo g_{10} (a) + lo g_{10} (b) + lo g_{10} (c)

lo g_{4} (\frac{16}{x + 4})

lo g_{10} (45) - lo g_{10} (4.5)

1 + ln (3) - 4 ln (x)

What is log_{10}(y)+4log_{10}(z) ?
The solution to log_{10}(y)+4log_{10}(z) is log_{10}(yz^4)