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
