SOLUTION: Evaluate the following expressions: a. log downward exponient 13 1 b. ln e upward exponient 8 c. log downward exponient 27 27 d. log downward exponien

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Question 1116038: Evaluate the following expressions:
a. log downward exponient 13 1
b. ln e upward exponient 8
c. log downward exponient 27 27
d. log downward exponient 9 27
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Found 3 solutions by Alan3354, greenestamps, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
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Evaluate the following expressions:
a. log downward exponient 13 1
b. ln e upward exponient 8
c. log downward exponient 27 27
d. log downward exponient 9 27
============
There's no "downward exponient"
There's no "exponient" of any kind.

Answer by greenestamps(13200) About Me  (Show Source):
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"exponient" should be "exponent"

"log downward exponient b..." should be "log, base b..."

"ln" means "log, base e"

"log a upward exponient b..." simply means "log of a^b"

So....

a. log downward exponient 13 1 --> log, base 13, of 1
log%2813%2C1%29 is 0, because 13%5E0+=+1

b. ln e upward exponient 8 --> log, base e, of e^8
By definition log%28e%2C%28e%5E8%29%29+=+8

c. log downward exponient 27 27 --> log, base 27, of 27
log%2827%2C27%29 is 1, because 27%5E1+=+27

d. log downward exponient 9 27 --> log, base 9, of 27
log%289%2C27%29+=+log%28%283%5E2%29%2C%283%5E3%29%29 is 3/2, because %283%5E2%29%5E%283%2F2%29+=+3%5E3

Answer by josgarithmetic(39618) About Me  (Show Source):
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Two of those were already answered thoroughly, yesterday.