Jesus did many other things as well. If every one of them were written down, I suppose that even the whole world would not have room for the books that would be written. John 21:25 NIV
3-Review
Take this test as you would take a test in class. When you are finished, check your work against the answers. On this assignment round your answers to three decimal places unless otherwise directed.
Simplify
4 log3 32x
4 ⋅ 5log5 3t
Identify the asymptote, domain, and range. Then graph the function.
f(x) = 2 ⋅ 3x − 1 − 4
g(x) = ½ ln (x + 2) + 1
Evaluate
log2 32
log½ 8
3⅓
Expand
Condense 3 log x − 2 log y + log z
Solve
3x = 81
2x + 8 = 16
3 ⋅ 5x − 2 = 10
4e2x − 1 = 16
log5 (x + 1) = 3
2 log (x + 3) + 4 = 15
ln (x) + ln (x + 3) = 4
An archaeologist finds a mummy whose body contains 68% of the carbon-14 found in living bodies. If the half-life of carbon-14 is 5730 years, how old is the mummy?
In electronics, a capacitor can act as a small battery. If a charged capacitor is used to power a circuit, the function V = V0e−t/τ models the voltage of the capacitor. V0 is the initial voltage, τ is the time constant, and t is the time in seconds.
If the initial voltage is 12V and the voltage is 4V after 1.5 s, find an equation to model the capacitor.