What is 1/2 (0.375983)+1/4 (ln(1.25)+ln(1.75)) ?

The solution to 1/2 (0.375983)+1/4 (ln(1.25)+ln(1.75)) is (0.375983)/2+1/4 ln(2.1875)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/2 (0.375983)+1/4 (ln(1.25)+ln(1.75))

simplify

\frac{1}{2} (0.375983) + \frac{1}{4} (ln (1.25) + ln (1.75))

\frac{0.375983}{2} + \frac{1}{4} ln (2.1875)

Decimal

0.38368 \dots

Solution steps

\frac{1}{2} (0.375983) + \frac{1}{4} (ln (1.25) + ln (1.75))

Apply log rule:

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

ln (1.25) + ln (1.75) = ln (1.25 \cdot 1.75)

= 0.375983 \cdot \frac{1}{2} + \frac{1}{4} ln (1.25 \cdot 1.75)

Multiply the numbers:

1.25 \cdot 1.75 = 2.1875

= \frac{1}{2} \cdot 0.375983 + \frac{1}{4} ln (2.1875)

\frac{1}{2} \cdot 0.375983 = \frac{0.375983}{2}

= \frac{0.375983}{2} + \frac{1}{4} ln (2.1875)

ln (\frac{547.85}{273.85}) \cdot 8

ln (27500) - ln (22617)

ln (\frac{1}{120})

ln (\frac{1421}{1431})

lo g_{9} (x e^{x})

What is 1/2 (0.375983)+1/4 (ln(1.25)+ln(1.75)) ?
The solution to 1/2 (0.375983)+1/4 (ln(1.25)+ln(1.75)) is (0.375983)/2+1/4 ln(2.1875)