en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(ex^4)+4

Solution

simplify

ln (e x^{4}) + 4

Solution

4 ln (x) + 5

Solution steps

ln (e x^{4}) + 4

Apply log rule:

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

ln (e x^{4}) = ln (e) + ln (x^{4})

= ln (e) + ln (x^{4}) + 4

Apply log rule:

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

ln (x^{4}) = 4 ln (x)

= ln (e) + 4 ln (x) + 4

Apply log rule:

lo g_{a} (a) = 1

= 1 + 4 ln (x) + 4

Group like terms

= 4 ln (x) + 1 + 4

Add the numbers:

1 + 4 = 5

= 4 ln (x) + 5

Popular Examples

expand ln((5x^6)/(11y^7))expand

ln (\frac{5 x ^{6}}{11 y ^{7}})

simplify [((8.314*293))/((2*96485))]*ln(1/(0.05))simplify

[\frac{( 8.314 \cdot 293 )}{( 2 \cdot 96485 )}] \cdot ln (\frac{1}{0.05})

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

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

simplify ln((0.007)/1)simplify

ln (\frac{0.007}{1})

simplify ln(900-9)-ln(8*300^2+7)simplify

ln (900 - 9) - ln (8 \cdot 30 0^{2} + 7)

Frequently Asked Questions (FAQ)

What is ln(ex^4)+4 ?
The solution to ln(ex^4)+4 is 4ln(x)+5