en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(128)*log_{2}(e)

Solution

simplify

ln (128) \cdot lo g_{2} (e)

Solution

7

Solution steps

ln (128) lo g_{2} (e)

Apply log rule:

lo g_{a} (b) = \frac{ln ( b )}{ln ( a )}

ln (128) lo g_{2} (e) = \frac{ln ( 128 )}{ln ( e )} \cdot \frac{ln ( e )}{ln ( 2 )}

= \frac{ln ( 128 )}{ln ( e )} \cdot \frac{ln ( e )}{ln ( 2 )}

Refine

= \frac{ln ( 128 )}{ln ( 2 )}

Simplify

ln (128) : 7 ln (2)

= \frac{7 ln ( 2 )}{ln ( 2 )}

Cancel the common factor:

ln (2)

= 7

Popular Examples

expand (4ab^2+5xy^3)^2 expand

(4 a b^{2} + 5 x y^{3})^{2}

simplify x 2/3 simplify

x \frac{2}{3}

simplify 3/27 simplify

\frac{3}{27}

simplify (-8+10i)(-9+3i)simplify

(- 8 + 10 i) (- 9 + 3 i)

\frac{90}{4}

Frequently Asked Questions (FAQ)

What is ln(128)*log_{2}(e) ?
The solution to ln(128)*log_{2}(e) is 7