logarithmic functions integrated math 4 mrs. tyrpak
TRANSCRIPT
Logarithmic Functions
Integrated Math 4
Mrs. Tyrpak
What would the inverse of an exponential function look like?
Or how would we complete the following pattern?
Definition
Mathematicians had to define the inverse of an exponential function
described by “2 raised to what power gives us 6”
Evaluate each expression without a calculator
Converting between exponential and logarithmic Equations
1. Write as a logarithm.
2. Write as an exponential.
Solve each equation without a calculator
Other Logarithm Information
• Change of base formula:
Properties of Logarithms
–Product property
–Quotient property
–Power property
Inverse Properties of Logarithms
• Find and
Express the following logarithm as multiple logarithms
log𝑎3√ 𝑎2𝑏h6
Take 2 minutes to try this on your own…
log𝑐2√ 𝑎5h7
Express the following logarithms as a single logarithm
5 log𝑏𝑥− log𝑏 𝑦+14log𝑏(𝑧+2)
Take 2 minutes to try this on your own…
7 log𝑏𝑥+ log𝑏(𝑦+1)−12log𝑏 𝑧
Given that and , find the following…
Thanks for your attention!
Don’t forget to complete both the extension and enrichment assignments
before you move on.
Keep up the hard work!