en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(k)+2ln(7r)

Solution

simplify

ln (k) + 2 ln (7 r)

Solution

ln (49 k r^{2})

Solution steps

ln (k) + 2 ln (7 r)

Apply log rule:

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

2 ln (7 r) = ln ((7 r)^{2})

= ln (k) + ln ((7 r)^{2})

Apply log rule:

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

ln (k) + ln ((7 r)^{2}) = ln (k (7 r)^{2})

= ln (k (7 r)^{2})

Simplify

k (7 r)^{2} : 49 k r^{2}

= ln (49 k r^{2})

Popular Examples

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

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

simplify ln((x^pe^{-y})/(sqrt(z)))simplify

ln (\frac{x ^{p} e ^{- y}}{z})

simplify ln(x^5y^3)simplify

ln (x^{5} y^{3})

simplify log_{10}(5+x)-2log_{10}(x+4)simplify

lo g_{10} (5 + x) - 2 lo g_{10} (x + 4)

simplify log_{10}(x)-log_{10}(y)simplify

lo g_{10} (x) - lo g_{10} (y)

Frequently Asked Questions (FAQ)

What is ln(k)+2ln(7r) ?
The solution to ln(k)+2ln(7r) is ln(49kr^2)