What is log_{3}(1/2)+(1/2)^2 ?

The solution to log_{3}(1/2)+(1/2)^2 is -log_{3}(2)+1/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{3}(1/2)+(1/2)^2

simplify

lo g_{3} (\frac{1}{2}) + (\frac{1}{2})^{2}

- lo g_{3} (2) + \frac{1}{4}

Decimal Notation

- 0.38092 \dots

Solution steps

lo g_{3} (\frac{1}{2}) + (\frac{1}{2})^{2}

lo g_{3} (\frac{1}{2}) = - lo g_{3} (2)

(\frac{1}{2})^{2} = \frac{1}{4}

= - lo g_{3} (2) + \frac{1}{4}

- (\frac{3}{4}) lo g_{2} (\frac{3}{4}) - ((\frac{1}{4}) lo g_{2} (\frac{1}{4}))

ln ∣ 3 x + x ∣ - ln (2 - x)

- \frac{5}{2} ln ∣ u + 5 ∣ + \frac{5}{2} ln ∣ u - 5 ∣

lo g_{b} (u^{9} v^{8})

ln (5 e^{5 x})

What is log_{3}(1/2)+(1/2)^2 ?
The solution to log_{3}(1/2)+(1/2)^2 is -log_{3}(2)+1/4