Rules Exponential Functions
Exponential functions
Rules Logarithmic Functions
Logarithmic funtions
Other
100
Anything to the power of 0 is....
One
100
e^1/2 (round to 3 decimal places)
1.649
100
What is the horizontal line test?
A test to see if any horizontal line crosses a graph more than once.
100
write in logarithmic form 10^-3=.001
log.001=-3
100
500e^-x = 300 round to 3 decimal places
.511
200
Anything to a negative power is....
A fraction
200
4^-2
1/16
200
The base for "log" is what unless otherwise said?
10
200
log (-2a+9) = log (7-4a)
a=-1
200
do change of base on where the base is 12 log12 200 round to 3 decimal places
2.132
300
The horizontal asymptote of most Exponential function is......
The x-axis or y=0
300
Identify any asymptotes y=(4^(x+1)) - 2
Horizontal asymptote: y=-2
300
log1 = 0 because
Anything to the power of 0 is 1
300
log5x=log(2x+9)
x=3
300
"log" base "x" of 243 is equal to 5 solve for "x"
3
400
what is the "natural base"?
e
400
136(5^-1.1) round to three decimal places
23.156
400
What is the "change of base formula"?
log_x= logx/log_
400
write as a single function log5 + logx
log5x
400
log(x-1) = log(x-2) - log(x+2)
No solution
500
The formula for continuous compounding is......
Pe^rt
500
P(t)= 100e^.2197t Find where t=5 Round to 3 decimal places
299.966
500
when logx=logy then x=?
x=y
500
log(x+1) - logx = log29
1/28
500
A deposit of $10,000 is made in a savings account for which the interest is compounded continuously. This balance will double in 12 years. Find the annual interest rate for the account.
5.78%