en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{e}(5e^6)

Solution

simplify

lo g_{e} (5 e^{6})

Solution

ln (5) + 6

+1

Decimal Notation

7.60943 \dots

Solution steps

lo g_{e} (5 e^{6})

Apply log rule:

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

lo g_{e} (5 e^{6}) = lo g_{e} (5) + lo g_{e} (e^{6})

= lo g_{e} (5) + lo g_{e} (e^{6})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{e} (e^{6}) = 6 lo g_{e} (e)

= lo g_{e} (5) + 6 lo g_{e} (e)

lo g_{e} (5) = ln (5)

6 lo g_{e} (e) = 6

= ln (5) + 6

Popular Examples

simplify ln(x)+ln(x-4)+2ln(x+1)simplify

ln (x) + ln (x - 4) + 2 ln (x + 1)

simplify log_{10}(z^2x)simplify

lo g_{10} (z^{2} x)

expand log_{3}((x^2(2x+1))/(sqrt(x-2)))expand

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

simplify 10ln(e^{-5})-log_{3}(1/242)simplify

10 ln (e^{- 5}) - lo g_{3} (\frac{1}{242})

simplify 2log_{10}(x-y)-log_{10}(x+y)simplify

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

Frequently Asked Questions (FAQ)

What is log_{e}(5e^6) ?
The solution to log_{e}(5e^6) is ln(5)+6