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  Problem 1
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!
Solving a exponential equation is pretty easy when our bases are the same because if our bases are the same, we know our exponents have to be the same. For this particular case, our bases are different though, we have 7 and 49 and what we really have to figure out is how we can make these bases the same.
So we need to think about is what do these two numbers have in common? They're both powers of 7, 49 we can rewrite as 7² so let's go ahead and do that. These sides are the same so I'm left with +1 and then this is just going to equal 7². Rewriting that 49 as a power of 7.
So what we've done is we've changed an equation with two different bases to now having the same base, so we know that x plus 1 has, oops I changed my plus to a minus, that looks like I did, that changes back to a minus. So I know that x minus 1 is equal to 2, solving this out x has equal 3, so even if we had different bases, take a second see if you can figure out what base they have in common, rewrite it and then solve.
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 9,394 viewsSolve:
7^{x − 1} = 49 
Solving Exponential Equations with the 'Same' Base
Problem 2 8,496 viewsSolve:
16^{x} = 8^{x − 1} 
Solving Exponential Equations with the 'Same' Base
Problem 3 7,547 viewsSolve:
( 1 )^{x} = 27² 9 
Solving Exponential Equations with the 'Same' Base
Problem 4 1,343 views 
Solving Exponential Equations with the 'Same' Base
Problem 5 1,324 views 
Solving Exponential Equations with the 'Same' Base
Problem 6 1,385 views
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete