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answers: b c c c a c b b b c d c Note
correction on #11.
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Under construction. Keep checking for completion.
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9.3
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1. log5625 = w . Write in exponential
form , and find w.
|
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a
w5 = 625 and w = 5 |
| b 5w = 625
and w = 4 |
|
c
w625 = 5 and w = 1 |
|
d e5 = w and w = 5 |
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e nota
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2. Write in logarithmic form. b5 = 243 ( see example
2) |
|
a
logb3 = 343 and b = 9 |
|
b
log243 = 3 and b = 3 |
|
c logb243 = 5
and b = 3 |
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d
logb243 = 4 and b = 3 |
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e nota |
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3. Evaluate x without a calculator log327 = x.
( Hint: See problem 23 and example 3) |
| a
9 |
|
b 1 |
|
c 3 |
|
d nota |
|
4. Evaluate. log10109
(See #52) |
| a 1/9 |
|
b 81 |
|
c 9 |
|
d nota
|
| 5. Evaluate and solve for x.
ln e10x = 20 ( See
#64) (Hint: ln = loge ) |
| a x = 2 |
|
b x = 1 |
|
c x = 0 |
|
d x = 3 |
|
e nota
|
| 6.
Evaluate and solve for x. log10109x
= 27 (See #64, same concept, but only base
10.) |
| a x = 1 |
| b x = 2 |
| c x = 3 |
| d nota |
| 9.4 |
7.
Evaluate ln(e15/8).
|
|
a 7 |
|
b 15 - ln8 |
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c ln15 - 8 |
|
d 15 + ln8 |
| e nota |
| 8. Simplify. log(10,000,000x2).
(Yo, see problem 5, with a little twist.) (Hint: log = log10
) |
|
a 6 + 2logx |
|
b 7 + 2logx |
|
c 5logx |
|
d 7 + log(2x) |
| e nota |
| 9. Simplify. See #32 or #31 , with a
little twist.
|
a (1/5)·[log x - log
y]
|
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b (1/5)·[5·log
x - log y] |
|
c (1/5)·[5log x +
log y] |
d nota
|
| 10. Simplify. log432
+ log42 (See #34) |
|
a 1 |
|
b 2 |
|
c 3 |
|
d nota |
| 11. Simplify. log3243
- log33 (See #38) |
|
a 1 |
|
b 2 |
|
c 3 |
|
d 4 |
| e nota |
| 12. Simplify. 10 ln(x + 9) + 5 lnx |
|
a ln [(x + 9)·x5] |
|
b ln [(x + 9)10/x5] |
|
c ln [(x + 9)10·x5] |
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d nota |