en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

join 15/4 ln(2)

Solution

join

\frac{15}{4} ln (2)

Solution

ln (8 \cdot 2^{\frac{3}{4}})

+1

Decimal Notation

2.59930 \dots

Solution steps

\frac{15}{4} ln (2)

Apply log rule:

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

\frac{15}{4} ln (2) = ln (2^{\frac{15}{4}})

= ln (2^{\frac{15}{4}})

2^{\frac{15}{4}} = 2^{3} \cdot 2^{\frac{3}{4}}

= ln (2^{3} \cdot 2^{\frac{3}{4}})

2^{3} = 8

= ln (8 \cdot 2^{\frac{3}{4}})

Popular Examples

simplify 6ln(7)-9ln(8)simplify

6 ln (7) - 9 ln (8)

simplify ln((e^x)/2)simplify

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

simplify ln(10/1000000)simplify

ln (\frac{10}{1000000})

simplify-log_{10}(7.5*10^{-9})simplify

- lo g_{10} (7.5 \cdot 1 0^{- 9})

simplify 0.5ln(x)+2ln(4x)simplify

0.5 ln (x) + 2 ln (4 x)

Frequently Asked Questions (FAQ)

What is join 15/4 ln(2) ?
The solution to join 15/4 ln(2) is ln(8*2^{3/4})