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Solving a Logarithmic Equation with Multiple Logs  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!
When given a problem on solving a logarithmic equation with multiple logs, students should understand how to condense logarithms. By condensing the logarithms, we can create an equation with only one log, and can use methods of exponentiation for solving a logarithmic equation with multiple logs. This requires knowledge of the product, quotient and power rules of logarithms.
Solving a logarithm equation where we have more than one log on either side, so really when we're solving a logarithm equation where we have two or more logs on either side, what we need to do is combine them to make sure we just get one log on a single side okay? So how we do that is using our properties of logs, remember if we are adding we can throw this together to be multiplication, if we're dividing we can throw them together to be division okay? Once we use all those properties of logarithms and we have a single log on one side and either a single log or a number on the other we can just solve them as we do what I will call simple log equations put in exponential form or know that the insides of logarithms have to be the same.
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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.
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Sample Problems (5)
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Solving a Logarithmic Equation with Multiple Logs
Problem 1 10,621 viewsSolve:
log_{7}(x + 5) − log_{7}(x − 1) = log_{7}3 
Solving a Logarithmic Equation with Multiple Logs
Problem 2 8,261 viewsSolve:
log_{2}x + log_{2}(x + 4) = 5 
Solving a Logarithmic Equation with Multiple Logs
Problem 3 7,195 viewsSolve:
log_{2}3 + log_{2}x = log_{2}(x − 2) + log_{2}(x + 2) 
Solving a Logarithmic Equation with Multiple Logs
Problem 4 1,785 views 
Solving a Logarithmic Equation with Multiple Logs
Problem 5 1,666 views
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