1/26
Looks like no tags are added yet.
Name | Mastery | Learn | Test | Matching | Spaced |
---|
No study sessions yet.
increasing exponential graph
f(x)=a^x
a>0, x>0
or
0<a<1, x<0
decreasing exponential graph
f(x)=a^x
a>1, x<0
or
0<a<1, x>0
compound interest
A=final amount of money
p=principal started with
r=annual interest rate
n=number of times per year the interest compounds
t=number of years
continuously compounded
change of base formula
natural base
e
Product rule
log(MN)=logM +logN
Quotient rule
log(M/N)=logM-logN
Power rule
logM^p=plogM
2⁷=x
Convert to exponential log₂x=7
3⁵=x
Convert to exponential log₃x=5
2
Evaluate log₃9
6
Evaluate log₂64
3.285
Evaluate log₄95
2.355
Evaluate log₆68
64
Evaluate log₈x=2
15625
Evaluate log₅x=6
log 4
condense & simplify log 2 + log 8 - log 4
log 6/x
Condense & simplify log 3 + log 8 - log 4 - log x
log 4 + 3log x
Expand log 4x³
3(log 4 + log x)
Expand log (4x)³
log 5 + log x - log 6 - log y
Expand log 5x/6y
log 5 + log x - 6log y
Expand log 5x/y⁶
log xy³/z²
Condense & simplify log x + 3log y - 2log z
y= Log₂X
2∧y = x
compounding "n" number of times
A= P(1+r/n)^nt
compounding continuously
A=Pe^rt