en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 9/4 ln(9/4)

Solution

simplify

\frac{9}{4} ln (\frac{9}{4})

Solution

\frac{9}{4} (2 ln (3) - 2 ln (2))

+1

Decimal Notation

1.82459 \dots

Solution steps

\frac{9}{4} ln (\frac{9}{4})

Apply log rule:

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

ln (\frac{9}{4}) = ln (9) - ln (4)

= \frac{9}{4} (ln (9) - ln (4))

ln (9) = 2 ln (3)

ln (4) = 2 ln (2)

= \frac{9}{4} (2 ln (3) - 2 ln (2))

Popular Examples

simplify log_{a}(u^8v^5)simplify

lo g_{a} (u^{8} v^{5})

simplify log_{4}(7)-log_{4}(3)simplify

lo g_{4} (7) - lo g_{4} (3)

simplify 7/2 log_{10}(x)-log_{10}(y)+log_{10}(z)simplify

\frac{7}{2} lo g_{10} (x) - lo g_{10} (y) + lo g_{10} (z)

simplify log_{9}(y^3z^4)-log_{9}(y^2z^7)simplify

lo g_{9} (y^{3} z^{4}) - lo g_{9} (y^{2} z^{7})

simplify-log_{10}(4*10^{-2})simplify

- lo g_{10} (4 \cdot 1 0^{- 2})

Frequently Asked Questions (FAQ)

What is 9/4 ln(9/4) ?
The solution to 9/4 ln(9/4) is 9/4 (2ln(3)-2ln(2))