en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(50e^x)

Solution

simplify

ln (50 e^{x})

Solution

ln (50) + x

Solution steps

ln (50 e^{x})

Apply log rule:

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

ln (50 e^{x}) = ln (50) + ln (e^{x})

= ln (50) + ln (e^{x})

Apply log rule:

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

ln (e^{x}) = x ln (e)

= ln (50) + x ln (e)

x ln (e) = x

= ln (50) + x

Popular Examples

expand log_{2}((x/y)^5)expand

lo g_{2} ((\frac{x}{y})^{5})

simplify ln((0.5)/(-0.15))simplify

ln (\frac{0.5}{- 0.15})

simplify ln(1+e^{-x})-ln(1+e^x)simplify

ln (1 + e^{- x}) - ln (1 + e^{x})

simplify ln(729/441)simplify

ln (\frac{729}{441})

simplify ln(4)-ln(8)simplify

ln (4) - ln (8)

Frequently Asked Questions (FAQ)

What is ln(50e^x) ?
The solution to ln(50e^x) is ln(50)+x