What is expand log_{10}(6x^4) ?

The solution to expand log_{10}(6x^4) is log_{10}(6)+4log_{10}(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{10}(6x^4)

expand

lo g_{10} (6 x^{4})

lo g_{10} (6) + 4 lo g_{10} (x)

Solution steps

lo g_{10} (6 x^{4})

Apply log rule:

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

lo g_{10} (6 x^{4}) = lo g_{10} (6) + lo g_{10} (x^{4})

= lo g_{10} (6) + lo g_{10} (x^{4})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= lo g_{10} (6) + 4 lo g_{10} (x)

ln (4 x) + ln (3 x)

- lo g_{10} (3.2 \cdot 1 0^{- 13})

ln (\frac{( x + 1 ) ^{2}}{x ( x + 2 )})

- 12 ln (3 + 5) + 12 ln (3 + 2)

lo g_{e} (2 e^{3 x})

What is expand log_{10}(6x^4) ?
The solution to expand log_{10}(6x^4) is log_{10}(6)+4log_{10}(x)