en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2ln(5)+2ln(x)

Solution

simplify

2 ln (5) + 2 ln (x)

Solution

ln (25 x^{2})

Solution steps

2 ln (5) + 2 ln (x)

Apply log rule:

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

2 ln (5) = ln (5^{2})

= ln (5^{2}) + 2 ln (x)

Apply log rule:

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

2 ln (x) = ln (x^{2})

= ln (5^{2}) + ln (x^{2})

Apply log rule:

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

ln (5^{2}) + ln (x^{2}) = ln (5^{2} x^{2})

= ln (5^{2} x^{2})

5^{2} = 25

= ln (25 x^{2})

Popular Examples

simplify log_{10}(-2i)simplify

lo g_{10} (- 2 i)

simplify 1/2 log_{3}(x)-2log_{3}(y+8)simplify

\frac{1}{2} lo g_{3} (x) - 2 lo g_{3} (y + 8)

simplify-log_{10}(2.4*10^{-7})simplify

- lo g_{10} (2.4 \cdot 1 0^{- 7})

simplify ln((3.7)/(1.2))simplify

ln (\frac{3.7}{1.2})

simplify x-ln(3x)simplify

x - ln (3 x)

Frequently Asked Questions (FAQ)

What is 2ln(5)+2ln(x) ?
The solution to 2ln(5)+2ln(x) is ln(25x^2)