Algebra 2 Chapter 8 Quiz 3

Solve log3 x + log3 3 = 2 log3 6 - log3 2 for x.

x = 6

Solve 53x = 2. Round your answer to the nearest thousandth.

0.144

Solve 4 ln(3x + 1) = 2. Express your answer as a decimal rounded to the nearest thousandth.

0.216

Solve 7.2y + 7.2 = 33.4 for y. Round your answer to the nearest hundredth.

1.65

Solve log2 2x + 2 log2 x = log2 60 - log2 4.

1.957

Solve log2 (3x + 2) + 2 = 7 for x.

10

How many years will it take an investment to double if it is invested at 6% APR compounded continuously? (Round your answer up to the nearest tenth.)

11.6 yr

Solve 2 ln y + ln y2 = 4. Express your answer exactly.

2.718 or e

Write log b^2/ac as a simplified expression in terms of log a, log b, and log c.

2log b - log a - log c

Solve logb 4 = 2.

b = 2

How long will it take $8000 to grow to $40,000 if it is invested at 5% APR compounded continuously?

between 25 and 50 years

How long will it take an investment of $100 to double at 4% APR compounded annually?

less than 25 yr