LogarithmsFinding the logarithm
Name: Date:
Work out each logarithm.
1log₃ 729 =
2log₃ 81 =
3log₂ 32 =
4log₄ 164 =
5log₃ 9 =
6log₈ 164 =
7log₁₀ 100 =
8log₅ 25 =
9log₁₀ 1000 =
10log₈ 512 =
Evaluating logarithms worksheets
What is log₃ 81? It is a question about exponents: which power of 3 lands on 81? These free printable worksheets ask that question over and over, and the answer key prints the power that settles it.
If they get stuck
Evaluating logarithms
The answer key prints on a separate page.
What's on this sheet
The notation is the main obstacle for someone new to logarithms. log₂ 32 reads like an instruction to divide, and a student who follows that gets 16. Doing a full page of one question, in one direction, is how the reading turns into a habit: which power of the base gives this number?
Why this sheet works
Every question is built from a whole base and a whole exponent, so each answer is exact and no calculator is needed or useful. A student who has to build the powers up by hand, 3, 9, 27, 81, is practicing the right thing. Some questions use a unit fraction, such as log₄ 1/64, and the answer goes negative: −3, because the number is between 0 and 1.
How this one works
log₃ 729
3⁶ = 729
log₃ 729 = 6
- log₃ 729 asks a question: which power of 3 lands on 729?
- So log₃ 729 is 6.