### Concept (1)

In the real world we often hear terms like exponential growth or exponential decay, when discussing solving exponential equations such as those used in compounding interest problems. In order to understand solving exponential equations, students should understand the significance of exponential functions and logarithmic functions.

### Sample Problems (6)

Need help with "Solving Exponential Equations with the 'Same' Base" problems? Watch expert teachers solve similar problems to develop your skills.

Solve:

7x − 1 = 49
###### Problem 1
How to solve an exponential equation where one base has to be changed.

Solve:

16x = 8x − 1
###### Problem 2
How to solve an exponential equation where both bases have to be changed.

Solve:

 ( 1 )x = 27² 9
###### Problem 3
How to solve an exponential equation using negative exponents.
###### Problem 4
How to solve exponential equations by rewriting both sides with the same base.
###### Problem 5
How to solve exponential equations by re-writing both sides with the same base using the rules of exponents.
###### Problem 6
How to solve exponential equations by writing the terms with the same base, even with x in multiple places.