Use Desmos.com to graph trigonometric functions such as sine, cosine and tangent.
Read to understand more on these functions: Article on sine and cos functions.
- logb(mn) = logb(m) + logb(n)
- logb(m/n) = logb(m) – logb(n)
- logb(mn) = n · logb(m)
In simpler terms:
Expanding and Condensing Log Expressions
There is no standard definition, in this context, for “simplifying”. You have to use your own good sense. If they give you a big complicated thing and ask you to “simplify”, then they almost certainly mean “expand”. If they give you a string of log terms and ask you to “simplify”, then they almost certainly mean “condense”.
Expanding Log Expressions:
Condensing Log Expressions:
log3(4) – log3(5) = log3(4/5)
2 · log3(x) = log3(x2)
Change of Base
You can evaluate a non-standard-base log by converting it to the fraction of the form “(standard-base log of the argument) divided by (same-standard-base log of the non-standard-base)”
Tips and Tricks
Check this out for complicated questions that could be answered easily: Trick Question Page