What is expand log_{3}((6x)^2) ?

The solution to expand log_{3}((6x)^2) is 2log_{3}(6)+2log_{3}(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{3}((6x)^2)

expand

lo g_{3} ((6 x)^{2})

2 lo g_{3} (6) + 2 lo g_{3} (x)

Solution steps

lo g_{3} ((6 x)^{2})

Apply log rule:

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

lo g_{3} ((6 x)^{2}) = 2 lo g_{3} (6 x)

= 2 lo g_{3} (6 x)

Apply log rule:

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

2 lo g_{3} (6 x) = 2 lo g_{3} (6) + 2 lo g_{3} (x)

= 2 lo g_{3} (6) + 2 lo g_{3} (x)

lo g_{10} (\frac{y ^{4} x ^{2}}{z})

ln (2) - ln (4) - ln (1) + ln (3)

ln (\frac{7 x ^{2}}{10})

2 ln (4) - 2 ln (5)

What is expand log_{3}((6x)^2) ?
The solution to expand log_{3}((6x)^2) is 2log_{3}(6)+2log_{3}(x)