Learn how to solve an exponential equation when the base is a fraction

👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both sides. Note that the base of the log should correspond to the base of the exponential part of the equation, so that the log cancels out the exponential function, 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

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[ChavoMysterio]

2(1/3)^2x = 18
(1/3)^2x = 9
3^-2x = 3^2
-2x = 2
x = -1

[LatinToi]

Thanks for posting such a great video! just wondering does the same logic apply of moving the multiplier (in this case 2) to the other side even when you have an equation of e.g: 2x(3^2x) = (3^2x) but you move the right hand side ((3^2x) to the left) so essentially when the 2 moves to the right its: 0/2 so therefore the 2 is 0?

[RPG]

What does this have to do with logarithmic functions?

[wristdisabledwriter]

I actually thought instead of dividing 2 just rewrite 18 as 2*3^2