en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{sqrt(2)}(2)

Solution

simplify

lo g_{2} (2)

Solution

2

Solution steps

lo g_{2} (2)

Apply radical rule:

a = a^{\frac{1}{2}}

2 = 2^{\frac{1}{2}}

= lo g_{2^{\frac{1}{2}}} (2)

Apply log rule:

lo g_{a^{b}} (x) = \frac{1}{b} lo g_{a} (x), a > 0

lo g_{2^{\frac{1}{2}}} (2) = \frac{1}{\frac{1}{2}} lo g_{2} (2)

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

Apply log rule:

lo g_{a} (a) = 1

lo g_{2} (2) = 1

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

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

= 2

Popular Examples

factor 6aw-36ak+6b^2w-36b^2k factor

6 a w - 36 ak + 6 b^{2} w - 36 b^{2} k

factor 16x^2-16x+3 factor

16 x^{2} - 16 x + 3

simplify (-11-10i)-(10-i)simplify

(- 11 - 10 i) - (10 - i)

f=280(2)^{63/8}

f = 280 (2)^{\frac{63}{8}}

simplify 16^2 simplify

1 6^{2}

Frequently Asked Questions (FAQ)

What is log_{sqrt(2)}(2) ?
The solution to log_{sqrt(2)}(2) is 2