What is expand log_{3}(11p^3) ?

The solution to expand log_{3}(11p^3) is log_{3}(11)+3log_{3}(p)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{3}(11p^3)

expand

lo g_{3} (11 p^{3})

lo g_{3} (11) + 3 lo g_{3} (p)

Solution steps

lo g_{3} (11 p^{3})

Apply log rule:

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

lo g_{3} (11 p^{3}) = lo g_{3} (11) + lo g_{3} (p^{3})

= lo g_{3} (11) + lo g_{3} (p^{3})

Apply log rule:

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

lo g_{3} (p^{3}) = 3 lo g_{3} (p)

= lo g_{3} (11) + 3 lo g_{3} (p)

5 ln (\frac{3}{4}) + \frac{5 - 3 ln ( \frac{81}{64} )}{2}

ln (10 x + 3) + ln (x + 3)

ln ((\frac{1}{2} + \frac{x}{4})^{a} \cdot (\frac{1}{4} - \frac{x}{4})^{b + c} \cdot (\frac{x}{4})^{d})

\frac{3}{4} lo g_{8} (18)

\frac{ln ( 5 ) + ln ( 5 ^{2} ) + ln ( 3 ^{3} )}{ln ( 5 )}

What is expand log_{3}(11p^3) ?
The solution to expand log_{3}(11p^3) is log_{3}(11)+3log_{3}(p)