Like what you saw?
Create FREE Account and:
 Watch all FREE content in 21 subjects(388 videos for 23 hours)
 FREE advice on how to get better grades at school from an expert
 Attend and watch FREE live webinar on useful topics
Solving Exponential Equations with the 'Same' Base  Concept
Carl Horowitz
Carl Horowitz
University of Michigan
Runs his own tutoring company
Carl taught upperlevel math in several schools and currently runs his own tutoring company. He bets that no one can beat his love for intensive outdoor activities!
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.
Solving basic exponential functions. So here we have an exponential function that has 5 to a power equals 5 to a power. And the most important thing to notice is that if our bases are the same, our exponents have to be the same, okay? Or conversely if our exponents are the same, our bases have to be the same. So really all we know here is that 5 to something is equal to 5 to something, these somethings have to be the same. So I can just drop my fives and say, x+1 has to equal 4. Solve this as we would any other equation, which leave leave us with x=3, okay?
So just by knowing that if our bases are the same, our exponents have to be the same makes solving these problems really really easy.
Please enter your name.
Are you sure you want to delete this comment?
Carl Horowitz
B.S. in Mathematics University of Michigan
He knows how to make difficult math concepts easy for everyone to understand. He speaks at a steady pace and his stepbystep explanations are easy to follow.
i love you you are the best, ive spent 3 hours trying to understand probability and this is making sense now finally”
BRIGHTSTORM IS A REVOLUTION !!!”
because of you i ve got a 100/100 in my test thanks”
Get Peer Support on User Forum
Peer helping is a great way to learn. Join your peers to ask & answer questions and share ideas.
Sample Problems (6)
Need help with a problem?
Watch expert teachers solve similar problems.

Solving Exponential Equations with the 'Same' Base
Problem 1 9,256 viewsSolve:
7^{x − 1} = 49 
Solving Exponential Equations with the 'Same' Base
Problem 2 8,358 viewsSolve:
16^{x} = 8^{x − 1} 
Solving Exponential Equations with the 'Same' Base
Problem 3 7,407 viewsSolve:
( 1 )^{x} = 27² 9 
Solving Exponential Equations with the 'Same' Base
Problem 4 1,276 views 
Solving Exponential Equations with the 'Same' Base
Problem 5 1,244 views 
Solving Exponential Equations with the 'Same' Base
Problem 6 1,306 views
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete