# The Natural Base e

### Topic Page

The Natural Base e### Questions

- What is base e?
- What are common mistakes students make with base e?
- What is the value of e?
- What is Euler's number?
- What is the significance of Euler's number?
- What does Euler's number represent?
- How do I work with Euler's number in Excel?
- How do I find the inverse of #e^x#?
- How does e relate to #pi#?
- Is the number e rational or irrational?
- How do you find the inverse of #y = ln(x) + ln(x-6)#?
- How do you simplify #ln e^2#?
- How do you simplify #ln (e* e * e)#?
- How do you simplify #ln (1/e^3)#?
- What is the domain of the natural logarithm?
- How do you solve #3 = (6x^2)e^(2x^3 - 3)#?
- How do you simplify #e^ln(5x+2)#?
- How do you solve #2e^(2x)-9e^x -5=0#?
- How do you solve #8x -1 = 3e^(ln(x^2))#?
- How do you solve #e^(x+2) = 50#?
- How do you simplify #e^3*e^4#?
- How do you simplify #e^-2*e^6#?
- How do you simplify #(2e^(3x))^3#?
- How do you simplify #(2e^-2)^-4#?
- How do you simplify #(3e^(5x))^-1#?
- How do you simplify #e^x*e^(-3x)*e^4#?
- How do you simplify #sqrt(9e^6)#?
- How do you simplify #e^x*5e^(x+3)#?
- How do you simplify #(3e)/e^x#?
- How do you simplify #(4e^x)/e^(4x)#?
- How do you simplify #(6e^(4x))/(8e)#?
- How do you evaluate #e^6# using a calculator to four decimal places?
- How do you evaluate #e^(-3.4)# using a calculator to four decimal places?
- How do you evaluate #e^4# using a calculator to four decimal places?
- How do you evaluate #e^5# using a calculator to four decimal places?
- How do you evaluate #e^-1.2# using a calculator to four decimal places?
- How do you evaluate #e^0.5# using a calculator to four decimal places?
- How do you write the equivalent logarithmic equation #e^-x=5#?
- How do you write the equivalent logarithmic equation #e^2=6x#?
- How do you write the equivalent logarithmic equation #ln3=1#?
- How do you solve #e^x>1.6#?
- How do you solve #-3e^(4x)+11=2#?
- How do you solve #8+3e^(3x)=26#?
- How do you solve #e^(-2x)<=7#?
- How do you solve #3e^x-2=0#?
- How do you solve #e^(3x)=4#?
- Based on the model, the solution to the equation #50=40e^( 0.027t)# gives the number of years it will take for the population of country A to reach 50 million. What is the solution to the equation expressed as a logarithm?
- How do you solve #5e^(2x)=3#?
- How do you solve #3-4e^x=-1#?
- What is the value of #e^1.8#?
- What is the solution to the equation #e^(5-3x)=10#?
- How do you simplify #\root3 { 125b ^ { 2} c ^ { 3} d ^ { 5} }#?
- How to solve this equation #e^(6z)+(1-i)e^(3z)-i=0#, for z where z is a complex number?
- Solve # 2ln 4 - 2ln(1/2)#?