Exponential functions
What is the name of unit 5
Exponential and Logarithmic Functions
3^x=1/243
x=-5
Logb (c) = a, then c=___
c=b^a
logb (xy) =______
logb (x)+logb (y)
log2 (x) +log2 (2x)=5
x=4
What is an exponential function
y=a^x a>0 (a≠1）
3^x=9√3
x=5/2
write in different forms 2^5 = 32
Log2 (32)=5
logb (x/y)=______
logb (x)-logb (y)
9^x=50
x≈1.78
When a>1, as x increases y increases. The function is_____
increasing
What is the coumpound interest
A=A0(1+i/n)^nt
Evaluating Logarithm Log3 (729)
6
logb (x^k)=______
logb (x)*k
What is the formula of FV
FV=R[(1=i)^n-1]/i
An exponential function y=a^x, where a>0 a≠1. The graph has y-intercept at ( , )
(0,1)
What is the form of exponential growth
y=a(k^b)^x
Estimate the value log3 (18)
log3 (18)≈2.5
log (50) - log (5) =
1
What is the formula of PV
PV=R[1-(1+i)^-n]/i
What is the general transformation of the exponential function for y=a^x
y=c(a^d(x-h))+k
A principal of $1500 is invested at 4% annual interest, compounded quarterly. To the nearest tenth of a year, when will the amount be $2500?
12.8 years
Estimate the value log5 (100)
log5 (100)≈2.8
logb (x) = _____
loga (x)/loga (b) a,b>0; a,b≠1 and x>0
How many monthly investments of $200 would have to be made into a saving account that pays 4% annual interest, coumpounded monthly, for the future value to be $100000
252 monthly investments