The problems in this lesson involve evaluating logarithms by condensing or expanding logarithms. For example, to evaluate log base 8 of 16 plus log base 8 of 4, we condense the logarithms into a single logarithm by applying the following rule: log base b of M + log base b of N = log base b of MN. So we have log base 8 of (16)(4), or log base 8 of 64. Next, we set the logarithmic expression equal to x, and we have log base 8 of 64 = x. Finally, we convert the logarithmic expression to exponential form, and we have 8^x = 64, so x = 2. So we've evaluated the logarithm by first condensing logarithms, then setting the condensed logarithm equal to x, then converting it to exponential form. In other examples, we evaluate logarithms by expanding logarithms. No expanding logarithms calculator is required.
We provide you thorough instruction of every step.
We`re by your side as you try problems yourself.
We test your knowledge until you`ve got it down.
We build your foundation if you`re struggling.
Lesson limit reached

Become a member

#### The learning doesn't have to stop!

Become a member
Test Prep
K12
College
Cancel
Which test are you preparing for?
Cancel