What is expand log_{10}(sqrt((9x-6)/(x+6))) ?

The solution to expand log_{10}(sqrt((9x-6)/(x+6))) is 1/2 log_{10}((9x-6)/(x+6))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{10}(sqrt((9x-6)/(x+6)))

expand

lo g_{10} (\frac{9 x - 6}{x + 6})

\frac{1}{2} lo g_{10} (\frac{9 x - 6}{x + 6})

Solution steps

lo g_{10} (\frac{9 x - 6}{x + 6})

Rewrite as

= lo g_{10} ((\frac{9 x - 6}{x + 6})^{\frac{1}{2}})

Apply log rule

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

assuming

x \geq 0

= \frac{1}{2} lo g_{10} (\frac{9 x - 6}{x + 6})

3 (2 - 1)

\frac{3}{s ^{2} ( s ^{2} - 9 )}

(x - 1) (x - \frac{1}{2})

\frac{x ^{3} + y ^{2}}{( x + y ) ^{3}}

\frac{x + 3}{x ( x - 3 )}

What is expand log_{10}(sqrt((9x-6)/(x+6))) ?
The solution to expand log_{10}(sqrt((9x-6)/(x+6))) is 1/2 log_{10}((9x-6)/(x+6))