en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x)+3ln(5)-ln(6)

Solution

simplify

ln (x) + 3 ln (5) - ln (6)

Solution

ln (\frac{125 x}{6})

Solution steps

ln (x) + 3 ln (5) - ln (6)

Apply log rule:

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

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

= ln (x) + ln (5^{3}) - ln (6)

Apply log rule:

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

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

= ln (5^{3} x) - ln (6)

5^{3} = 125

= ln (125 x) - ln (6)

Apply log rule:

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

ln (125 x) - ln (6) = ln (\frac{125 x}{6})

= ln (\frac{125 x}{6})

Popular Examples

simplify log_{e}(ab)simplify

lo g_{e} (ab)

simplify ln(x^2)+ln(x^3)simplify

ln (x^{2}) + ln (x^{3})

simplify ln|1+4y|-ln(5)simplify

ln ∣ 1 + 4 y ∣ - ln (5)

join pi/8 ln(5)join

\frac{π}{8} ln (5)

simplify ln(5x^6)simplify

ln (5 x^{6})

Frequently Asked Questions (FAQ)

What is ln(x)+3ln(5)-ln(6) ?
The solution to ln(x)+3ln(5)-ln(6) is ln((125x)/6)