AP Precalculus / Unit 2: Exponential and Logarithmic Functions

2.11 Logarithmic Functions

3 practice questions

Notes

$f(x)=a\log_bx$:

Vertical asymptote $x=0$; passes through $(1,0)$.
If $b>1$ and $a>0$: increasing and concave down.
Grows very slowly: equal output increases need multiplicative input increases.

Practice

$\log_2x$ passes through:

The vertical asymptote of $\log(x-4)$:

For $\log_{10}x$, going from 10 to 100 to 1000 raises the output by:

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