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Precalc Honors 3.4 Homework

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Last updated about 3 hours ago
13 questions
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Question 1
1.

Solve 4^{x} = 64

Question 2
2.

Solve
Make sure you give an exact value using the most appropriate log-base

Question 3
3.

Solve
Make sure you give an exact value

Question 4
4.

Solve
Make sure you give an exact value using the most appropriate log-base

Question 5
5.

Solve the equation

Question 6
6.

Solve the equation

Question 7
7.

Solve \log(x^2+5)=\log 21

Question 8
8.

Solve \log_4x + \log_4(x-6)=2

Question 9
9.

The temperature of a pizza, in degrees Fahrenheit t minutes after it is removed from the over is given by F(t)=425(0.916)^t. How long, to the nearest minute, will it take the pizza to cool to 100°F?

Question 10
10.

Explain why 3^{x^2+4}=\frac{1}{3} has no solution

Question 11
11.

Three thousand dollars is invested into an account compounding interest continuously. After 4 years, there is $3315.51 in the account. Find the interest rate as a percentage rounded to the nearest tenth.

Question 12
12.

Tritium, a radioactive isotope of hydrogen, has a half-life of 12.3 years. Suppose that
200 grams of Tritium are initially present. How many years (to the nearest tenth) will it take for only 25 grams to be present?

Question 13
13.

Solve using an appropriate log base. 3^{x+1}=4^{x-1}