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HW Solve Log Equations

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Last updated over 2 years ago
13 questions
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Question 1
1.

Solve the equation. Make sure to check your answers for extraneous solutions.
If there is no solution, write: no solution


Write your answer as y=7 for example, or y=6,-6 if there is more than 1 solution.

Question 2
2.

Solve the equation. Make sure to check your answers for extraneous solutions.
If there is no solution, write: no solution

Question 3
3.

Solve the equation. Make sure to check your answers for extraneous solutions.
If there is no solution, write: no solution

Question 4
4.

Solve the equation. Make sure to check your answers for extraneous solutions.
If there is no solution, write: no solution

Question 5
5.

Solve the equation. Make sure to check your answers for extraneous solutions.
If there is no solution, write: no solution

Question 6
6.

Solve the equation. Make sure to check your answers for extraneous solutions.
If there is no solution, write: no solution

*Remember when you take the square root, you need \pm

Question 7
7.

Solve the equation. Make sure to check your answers for extraneous solutions.
If there is no solution, write: no solution

Question 8
8.

Solve the equation. Make sure to check your answers for extraneous solutions.
If there is no solution, write: no solution

(remember, if the base is not written, it is base "10")

Question 9
9.

A decibel scale represents how loud things are and is based on logarithms. For exampe, a quiet office is 30 dB, and a jet engine is 150+ dB. This is the formula for decibels:
You’re at a rock concert, and you measure the sound to be 140dB. What is the intensity (I) of the sound?
Units will be w/m^2 , but you don't need to put them.

Question 10
10.

This question goes with #9
If a home stereo has a sound intensity of .0001 watts/meter^2, how much greater is the Intensity of the sound at the concert than your home stereo?
Hint: Divide

Question 11
11.

A colony of bacteria grows according to the function below, where N is measured in grams and t is measured in days. How long will it take for the population to reach 140 grams?

Round to the nearest tenth.

Question 12
12.
Fry from Futurama has $800 in his bank account in the year 2000 and then falls into a cryogenic tank and gets frozen for a thousand years. He wakes up in the year 3000 and discovers he's a billionaire. If the money in his bank account was compounded semi-annually with an interest rate of 1.45%, exactly how much money does he have in his bank account in the year 3000? _______

Since he has a little over a $1 billion in 3000, he actually first became a billionaire while he was still frozen. Which year did he first become a billionaire? _______

Question 13
13.
Gabriel made a deposit of $10,000 into a savings account where the interest is compounded continuously. The balance will double after 9 years.
What is the interest rate (r) for this account? Round to 3 decimal places. _______

Gabriel wants to travel all around Europe but will need $45,000 for his trip. When will he have enough money to go? Round to the nearest whole. _______