Think you’ve got your head wrapped around Logarithms and Exponential Functions? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. Find the function that doubles in value for every interval and passes through (3, 24).
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_12.png)
y = 3(8x)
y = 3(2x)
y = 2(3x)
y = 8(24x)
Q. Find a function that decreases by 3 for every interval and passes through (1, 5).
y = 3x – 5
y = 8x – 3
y = -x + 8
y = -3x + 8
y = x-3 + 8
Q. Find the exponential function that passes through (0, 2) and (2, 98).
y = 2(7x)
y = 7(2x)
y = 14(2x)
y = 49(2x)
y = 2(14x)
Q. Find the exponential function that passes through (1, -6) and (2, -18).
y = 2(3x)
y = -6(3x)
y = 2(-3)x
y = -2(3x)
y = 6(-2x)
Q. Rewrite y = 4e2x in logarithmic form.
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_13.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_14.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_15.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_16.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_17.png)
Q. Rewrite y = -4(55x + 1) in logarithmic form.
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_19.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_20.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_21.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_22.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_23.png)
Q. Rewrite y = log7(10x2) in exponential form.
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_25.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_26.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_27.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_28.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_29.png)
Q. Rewrite y = ln(10ex) in exponential form.
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_53.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_32.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_33.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_54.png)
![](https://media1.shmoop.com/images/algebra-ii/alg2_explog_quiz_latek_36.png)