en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(4)+ln(3x)

Solution

simplify

ln (4) + ln (3 x)

Solution

ln (12 x)

Solution steps

ln (4) + ln (3 x)

Apply log rule:

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

ln (4) + ln (3 x) = ln (4 \cdot 3 x)

= ln (4 \cdot 3 x)

Multiply the numbers:

4 \cdot 3 = 12

= ln (12 x)

Popular Examples

simplify ln(x^6)-3ln(\sqrt[3]{x^5})simplify

simplify cos(x)-ln(2x)simplify

cos (x) - ln (2 x)

simplify (log_{5}(x+y)+2log_{5}(y))-3log_{5}(x)simplify

(lo g_{5} (x + y) + 2 lo g_{5} (y)) - 3 lo g_{5} (x)

expand log_{4}((x^2)/(3y))expand

lo g_{4} (\frac{x ^{2}}{3 y})

simplify 2log_{10}(8)-4log_{10}(x)simplify

2 lo g_{10} (8) - 4 lo g_{10} (x)

Frequently Asked Questions (FAQ)

What is ln(4)+ln(3x) ?
The solution to ln(4)+ln(3x) is ln(12x)