Solving an exponential equation with e on the denominator

👉 Learn how to solve exponential equations in base e. An exponential equation is an equation in which a variable occurs as an exponent. e is a mathematical constant approximately equal to 2.71828. e^x is a special type of exponential function called the (natural) exponential function

To solve a natural exponential equation, we use the properties of exponents to isolate the (natural) exponential functions. Then we take the natural log of both sides. Note that the natural log cancels out the (natural) exponential function (e), leaving out only the exponent.

Organized Videos:
✅Solve Exponential Equations
✅Solve Exponential Equations | Learn About
✅Solve Exponential Equations with a Calculator
✅Solve Exponential Equations with Fractions
✅Solve Exponential Equations | Easy
✅Solve Exponential Equations with e
✅Solve Exponential Equations with Logarithms
✅Solve Exponential Equations without a Calculator

Connect with me:

#brianmclogan #exponential

[Lori]

Thank you so much! No one else explained a problem like this! Thank you!!!!

[michaelafshari]

You make it harder than it is ! First of all before doing anything , you can divide by 7 and cross multiplication. Also LN e ‘6x= 6x LN e= 6x= LN 31 then x= LN 31/6 .

[herbcruz]

When you convert this to logarithmic form, you get 6x=ln(31). You had it the other way around.

[aakashkarajgikar]

5:01 Wait, you meant "log base e"?

[wristdisabledwriter]

You could have divided both sides by 6 to get 17 on the left than added 14 to both sides and the rest is the same