Graphs of Exp. Functions
Exponential growth and decay
Solving exponents
Logarithmic Properties
Solving logarithms
100
What happens to the graph of an exponential function when b is negative?
flips over x
100
if y=ab^x is the general equation for exponential decay then a is ________
<1
100
Solve 3^x=6 by graphing
x=1.63
100
rewrite 3^x = 7 as a logarithm
log 3 (7) = x
100
Evaluate log 7 (x+1) = log 7 (3x-2)
x=3/2
200
What happens to the graph of an exponential function y=b^x +a when a is positive?
moves up
200
Does the graph y=1.4^x show exponential growth or decay?
growth
200
solve 8^x=20 by graphing
x=1.44
200
write log 18 (x) = 2 as an exponent
18^2 = x
200
Evaluate log 2 (2x+3) = 15
16382.5
300
What happens to the graph of an exponential function when x has a positive coefficient <1
moves right and widens
300
A town has a population if 2100 people. if the population increases at a rate of 3%. What will the population be in 6 years?
2508
300
solve 6^(3x+2)=6^(4x+1)
x=1
300
the common log has a base of ________
10
300
Evaluate 5^x =160 using logs
x=3.15
400
What is the y-intercept of y=6^(x+3)-3
33
400
A car is bought for $12,000 if it depreciates at a rate of 8% how much will it be worth in 5 years?
$790.90
400
solve 5^(4x+2)=125^(2x-3)
x=11/2 or 5.5
400
rewrite log 4 (8^x) using the power rule
x log 4 (8)
400
Evaluate log 3 (x+6) + log 3 (x-2) =log 3 (x^2 +4)
x=4
500
Write the equation of the horizontal and vertical asymptote of y=4^(x) +3
y=3 , x=2
500
An account initially has $260. If it is compounded annually at a rate of 12% how much money will be in the account in 4 years?
$409.12
500
solve 81^(x+3)=27^(x-1)
x=-15
500
rewrite log 6 (8) - log 6 (4) using the quotient property
log 6 (8/4) = log 6 (2)
500
Evaluate log 4 (x+1) + log 4 (x-2) = log 4 (x-4) + log 4 (x+5)
x=9
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