What is expand ln(sqrt(((2x+7))/(y^3+3))) ?

The solution to expand ln(sqrt(((2x+7))/(y^3+3))) is 1/2 ln((2x+7)/(y^3+3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ln(sqrt(((2x+7))/(y^3+3)))

expand

ln (\frac{( 2 x + 7 )}{y ^{3} + 3})

\frac{1}{2} ln (\frac{2 x + 7}{y ^{3} + 3})

Solution steps

ln (\frac{2 x + 7}{y ^{3} + 3})

Rewrite as

= ln ((\frac{2 x + 7}{y ^{3} + 3})^{\frac{1}{2}})

Apply log rule

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

assuming

x \geq 0

= \frac{1}{2} ln (\frac{2 x + 7}{y ^{3} + 3})

\frac{4 q ^{2} - 4 q r + b r - q}{4 ( b r - q ) ( q - 1 ) ^{2}}

x^{\frac{1}{2}} (x^{\frac{4}{5}} - x^{\frac{7}{5}})

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

(x + 5) (x - 3)

What is expand ln(sqrt(((2x+7))/(y^3+3))) ?
The solution to expand ln(sqrt(((2x+7))/(y^3+3))) is 1/2 ln((2x+7)/(y^3+3))