en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3ln(x+5)-ln(x+2)

Solution

simplify

3 ln (x + 5) - ln (x + 2)

Solution

ln (\frac{( x + 5 ) ^{3}}{x + 2})

Solution steps

3 ln (x + 5) - ln (x + 2)

Apply log rule:

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

3 ln (x + 5) = ln ((x + 5)^{3})

= ln ((x + 5)^{3}) - ln (x + 2)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln ((x + 5)^{3}) - ln (x + 2) = ln (\frac{( x + 5 ) ^{3}}{x + 2})

= ln (\frac{( x + 5 ) ^{3}}{x + 2})

Popular Examples

simplify 107.22-35+10*log_{10}(12/32)simplify

107.22 - 35 + 10 \cdot lo g_{10} (\frac{12}{32})

expand ln((2xe^y)^2)+e^{(y+ln(3x))}expand

ln ((2 x e^{y})^{2}) + e^{(y + l n (3 x))}

simplify 2ln(x+1)-ln(x+2)simplify

2 ln (x + 1) - ln (x + 2)

simplify 4.41927+5log_{10}(161/10)simplify

4.41927 + 5 lo g_{10} (\frac{161}{10})

simplify ln|13|-ln|2|simplify

ln ∣ 13 ∣ - ln ∣ 2 ∣

Frequently Asked Questions (FAQ)

What is 3ln(x+5)-ln(x+2) ?
The solution to 3ln(x+5)-ln(x+2) is ln(((x+5)^3)/(x+2))