Precalc Honors 3.4 Homework

Solve 4^{x} = 64

Solve

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

Solve

Make sure you give an exact value

Solve

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

Solve the equation

Solve the equation

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

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

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?

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

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.

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?

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