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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 simple logarithmic equation. Whenever we're solving a simple logarithmic equation what we want to do is put it into exponential form.
So for this particular example, that would just mean we bring the 7 around and we're left with x is equal to 7 to the 0. 7 to the 0 is just equal 1, so we have x is equal to 1, easy enough.
What I want to talk about though is, is this special for 7? If this was a 10, we would do the same thing x is equal to 10 is 0, we'd still be left with 1, so that forms is actually one of our properties, we're left with log base b of 1 is equal to 0.
No matter what your base, if we have a 1 in the inside, it's going to equal to 0, whatever these properties of log it's always remember it will awfully be a little bit hand inconvenient, but you can always derive it as well.
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Sample Problems (7)
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Solving Simple Logarithmic Equations
Problem 1 9,098 viewsSolve:
log_{2}(3x + 1) = 2 
Solving Simple Logarithmic Equations
Problem 2 7,858 viewsSolve:
log_{49}∛7 
Solving Simple Logarithmic Equations
Problem 3 7,008 viewsSolve:
log_{x}¼ = 2 
Solving Simple Logarithmic Equations
Problem 4 6,557 viewsSolve:
log_{5}5 
Solving Simple Logarithmic Equations
Problem 5 6,832 viewsSolve:
log_{7}x = 0 
Solving Simple Logarithmic Equations
Problem 6 519 views 
Solving Simple Logarithmic Equations
Problem 7 475 views
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