chapter 8 review. rewrite into logarithm form: 1. 2
TRANSCRIPT
Chapter 8 Review
4972 8134
Rewrite into logarithm form:1. 2.
249log7 481log3
Rewrite into exponential form:
416log2 2100log10 3. 4.
1624 100102
Simlify:
ee x
7
55. 6.
7
15 xe
31121 )8(
xe
xe42
Use a calculator to evaluate – round to 3 decimal places
34 e7. 8. 51
3.2e
Tell whether the function is exponential growth or decay:
9. f(x) = 71
e GROWTH
.199 1.883
Expand:
log8x5y 10.
11. log5 3
25yx
5log8x + log8y
log55 + 2log5x-3log5y
Condense:
12. ln56 – ln8
ln7
13. 3log2x + 4log2y
log2x3y4
Use change of base formula to evaluate:
log 5 11
14. 15.
log 3 16 log11
log 5
1.5
log16log 3
2.524
Solve:16. 64x-7 = 16x+11
17. ex-2 = 8
43x-21 = 42x+22 3x-21 = 2x+22 x = 43
lnex-2 = ln8 x-2 = ln8 x = ln8+2 x=4.079
2log5(x-1) = 4 18.
19. Log3(2x-3) =3
21log 55 5 x
X-1 = 25X = 26
332log 33 3 x
2X-3 = 27 2x = 30 x = 15
20. Continuous compounded interest uses the formula: A = Pert. You deposit $3000 in an account that pays 3% annual interest compounded continuously. What is the balance after 1 year?
A = 3000e.03(1)
$3091.36