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
Expanding Logarithms  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!
Sometimes we use methods for expanding logarithms in complicated logarithmic terms. Expanding logarithms can be useful for obtaining more simplified terms. When expanding logarithms we use the rules of logarithms, including the power rule, the product rule and the quotient rule. Sometimes we use methods for expanding logarithms when evaluating logarithmic equations.
So there are number of different properties that we can use when we're dealing with logarithms okay? I've written most of them once we've talked about up here okay?
There's first and foremost the product rule which is basically if we are multiplying inside of our log we can split it up and write it as addition. Secondly there's the quotient rule which is if we're dividing inside of a log we can split it up and you do subtraction.
Power rule if we're taking a term to a power inside of a log we can bring that power down in front in extension of that is if we have the same base in about in a both our log and [IB] you can bring it down and cancel out to be just whatever is in the exponent.
And our last one is if our base is to a log of the same base those things cancel out just leaving us with whatever inside of our 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”
Get Peer Support on User Forum
Peer helping is a great way to learn. Join your peers to ask & answer questions and share ideas.
Concept (1)
Sample Problems (6)
Need help with a problem?
Watch expert teachers solve similar problems.

Expanding Logarithms
Problem 1 8,108 viewsExpand:
log_{5} 25x² √z 
Expanding Logarithms
Problem 2 6,217 viewsExpand:
log_{9} (ab)³ 9(c + d) 
Expanding Logarithms
Problem 3 5,601 viewsExpand:
log_{4}( 64 )⁻³ ∛x⁴ ⋅ y² 
Expanding Logarithms
Problem 4 1,193 views 
Expanding Logarithms
Problem 5 1,274 views 
Expanding Logarithms
Problem 6 1,191 views
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete