en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 7/2 ln(x)+2ln(y)

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

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

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

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

Popular Examples

simplify 3.17+log_{10}((4.4)/(0.16))simplify

3.17 + lo g_{10} (\frac{4.4}{0.16})

simplify 6*ln(0.75*x)simplify

6 \cdot ln (0.75 \cdot x)

simplify ln((-1+e^2)/(2e))simplify

ln (\frac{- 1 + e ^{2}}{2 e})

simplify log_{x}(sqrt(5))+log_{x}(5x)-2.25 simplify

lo g_{x} (5) + lo g_{x} (5 x) - 2.25

simplify ln(2(3))simplify

ln (2 (3))

Frequently Asked Questions (FAQ)

What is 7/2 ln(x)+2ln(y) ?
The solution to 7/2 ln(x)+2ln(y) is ln(x^{7/2}y^2)