B
By what percentage is the equation y=7\cdot 0.83^x decreasing?
17
Rewrite 3^x=84 using logs
\log _3 84=x
In the equation y=45(1.17)^x, what is the y-intercept?
45
What is log_2 32?
5
An exponential function includes the points (0, 4) and (2, 400). What is the growth factor of the function?
By what percentage is the equation y=2(1.23)^x increasing?
23
Rewrite 8^x=34 using logs
\log _8 34=x
The equation y=103\cdot e^{0.4x} represents the number of viewers on a youtube video, x weeks after it was posted. By what percentage are the views increasing each week?
40
If 70=10(1.6)^x, complete the equation: log_1.6 ? = x
? = 7
An exponential function includes the points (0, 1) and (2, 64). What is the growth factor of the function?
8
By what percentage is the equation y=700\cdot e^{0.06x} increasing?
6
Rewrite e^x = 84 using logs
ln 84=x
The equation y=103\cdot e^{0.1x} represents the number of viewers on a youtube video, x weeks after it was posted. What x-value would we use to find the number of views after 4 days?
4/7
If 24=8\cdot e^{0.5x}, complete the equation: ln (?) = 0.5x
? = 3
A function f(x) gives the number of bunnies living in a park after x days. What x-value would we use to find the bunny population after 5 hours?
5/24
By what percentage is the equation y=52\cdot e^{1.03x} increasing?
103
Rewrite e^x=34 using logs
ln34=x
The expression 4(1.32)^x represents the total area, in square feet, of algae in a swimming pool x weeks after the owner stops cleaning it. How many square feet of algae were in the swimming pool on the day the owner last cleaned it?
4
If 18=3\cdot 1.2^x, complete the equation: log_? 6=x
? = 1.2
Write an exponential function that has a y-intercept of 4 and grows by 5%.
y=4(1.05)^x
In the equation y=56\cdot e^{0.02x}, what is the y-intercept?
56
Rewrite 4^{3x}=8 using logs
log_4 8=3x
A savings account has $500 when first opened and earns 3% interest each year. Complete the equation: y=500\cdot e^{?x}
0.03
To solve the equation 5=2\cdot 1.23^x, we first need to divide both sides. What should we divide by?
2
Write an exponential function that has a y-intercept of 4 and grows by 105%.
y=4\cdot e^{1.05x}