Questions About Remote Learning?
View This Storyboard as a Slide Show!
Create your own!
Like What You See?
This storyboard was created with
y=a^x <-> x=loga(y)
The base goes down. Note that a>0, a≠1. Remember your laws of indices as you will need to know how to convert.
Laws of Logarithm:1) loga(xy)=loga(x)+loga(y)2) loga(x/y)=loga(x)-loga(y)3) loga(x^r)=(r)loga(x)
You can only combine when they have the same base. If there is a number in front of the log, change it into the power before continuing.
Ms Latha introduces Logarithms to 3 Loyalty.
This is how you change the base of Logarithms. You need to know this as your calculator can only calculate lne or log10.
Ms Latha teaches the class how to use the calculator.
e^x=2ln both sides, lne^x=ln2x=ln2
ln both sides to cancel the e or log both sides but you can only do this when both sides have 1 term.
The Laws of Logarithm are important when you do problems related to logarithms.
e^2x=3e^x+4Let y=e^x, y^2=3y+4..y=4 or -1e^x=4lne^x=ln4
When you have more than 1 term on 1 side and you are unable to ln/log, you can substitute an unknown for 'y'
Changing of base of Logarithms
If there is an e, it's encouraged to ln while if it's a number, it is encouraged to log.
Solving problem sums, you need to learn to solve it smartly and use your knowledge of algebra to help you. Thank you for coming to class today!
Over 14 Million
Create My First Storyboard