What’s on the Logarithms poster
The rule, 4 worked examples, and the mistake everyone makes.
- log_b(x) asks: what power of b gives x? A logarithm is simply an exponent.
- log_b(x) = y ⟺ bʸ = x
- log₂(8) = 3
- log₁₀(1000) = 3
- log(ab) = log a + log b
- log(aⁿ) = n log a
- Common mistake: log(a + b) = log a + log b → log(ab) = log a + log b
You cannot take the log of zero or of a negative. The domain restriction matters.
Questions about the Logarithms poster
- What’s on the Logarithms poster?
- The rule, 4 worked examples, and the mistake everyone makes. log_b(x) asks: what power of b gives x? A logarithm is simply an exponent.; log_b(x) = y ⟺ bʸ = x; log₂(8) = 3; log₁₀(1000) = 3; log(ab) = log a + log b; log(aⁿ) = n log a; Common mistake: log(a + b) = log a + log b → log(ab) = log a + log b. You cannot take the log of zero or of a negative. The domain restriction matters.
- Who is the Logarithms poster for?
- Logarithms is filed under 10th Grade (ages 15–16), so it matches what that year asks a child to remember. It is equally useful to an older student revisiting math, and to the parent or teacher answering the question at the kitchen table.
- When should you use the Logarithms poster?
- Rewrite every log as an exponential before doing anything else. A wall chart earns its place by being glanceable from where the work is happening, so Logarithms belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
- What other posters go with Logarithms?
- Sequences and Series, Completing the Square and Complex Numbers sit alongside Logarithms in the 10th Grade set. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Sequences and SeriesCompleting the SquareComplex Numbers
- Is the Logarithms poster free to download and print?
- Yes. Logarithms downloads as a free PDF with no account, no email and no watermark, like everything else in the 10th Grade set. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
- What size does the Logarithms poster print at?
- Logarithms is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Logarithms loses nothing.Printing guide
Related posters
Charts that sit alongside Logarithms on the same wall.
Browse every 10th Grade poster, or start from the full catalogue.