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
Quotient Rule of Logarithms  Problem 2
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!
Using the quotient rule of logarithms to condense or put two logarithms back together. We know that the log of base b of x over y is the same thing as log base b of x minus log base b of y.
For this example what we’re actually doing is we’re going from the expanded subtraction version back to a single log. All you have to know is that the first one, log base b of x is going to go in the numerator. Going here that means our x is going to be in the numerator, log base 5 of x over the second one is going to be in the denominator, x plus 3.
Using the quotient rule of logarithms we we’re able to combine these two, condense then down into a single log.
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”
Concept (1)
Sample Problems (4)
Need help with a problem?
Watch expert teachers solve similar problems.

Quotient Rule of Logarithms
Problem 1 6,278 viewsSimplify:
log_{7}(49⁄3) 
Quotient Rule of Logarithms
Problem 2 5,519 viewsSimplify:
log_{5}x − log_{5}(x + 3) 
Quotient Rule of Logarithms
Problem 3 5,378 viewslog_{b}(x⁄y) = log_{b}x − log_{b}y
Let m = log_{b}x and n = log_{b}y 
Quotient Rule of Logarithms
Problem 4 1,611 views
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete