What is ln((sqrt(2x))/(y^2)) ?

The solution to ln((sqrt(2x))/(y^2)) is ln(sqrt(2)sqrt(x))-2ln(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((sqrt(2x))/(y^2))

simplify

ln (\frac{2 x}{y ^{2}})

ln (2 x) - 2 ln (y)

Solution steps

ln (\frac{2 x}{y ^{2}})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{2 x}{y ^{2}}) = ln (2 x) - ln (y^{2})

= ln (2 x) - ln (y^{2})

Apply log rule:

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

ln (y^{2}) = 2 ln (y)

= ln (2 x) - 2 ln (y)

2 x = 2 x

= ln (2 x) - 2 ln (y)

\frac{3}{2} ln (4 + 19)

\frac{1}{2} ln (3.73) - ln (0.26)

ln ((1 - b) (1 - d) x y^{w - 1})

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

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

What is ln((sqrt(2x))/(y^2)) ?
The solution to ln((sqrt(2x))/(y^2)) is ln(sqrt(2)sqrt(x))-2ln(y)