SOLUTION: Evaluate The Log Of 0.2 Raise To The Power Of 25

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Question 1203770: Evaluate The Log Of 0.2 Raise To The Power Of 25
Found 3 solutions by josgarithmetic, greenestamps, ikleyn:
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
What base of logarithm? To which is the power being applied?

for base b, either you want log%28b%2C%280.2%5E25%29%29 or %28log%28b%2C0.2%29%29%5E25.
They are not the same. Post what you really need.

Answer by greenestamps(13206) About Me  (Show Source):
You can put this solution on YOUR website!


Or, most unfortunately, some references use the very bad language in which "log of a to the power b" means log%28b%2Ca%29

That, unfortunately, is the interpretation that leads to a relatively simple answer:

log%2825%2C%280.2%29%29
log%2825%2C%281%2F5%29%29
log%285%2C%281%2F5%29%29%2Flog%285%2C%2825%29%29
%28-1%29%2F2=-%281%2F2%29

ANSWER: -1/2

CHECK: 25%5E%28-1%2F2%29=%281%2F25%29%5E%281%2F2%29=1%2F5+=+0.2

Answer by ikleyn(52867) About Me  (Show Source):
You can put this solution on YOUR website!
.

Tutor  @greenestamps gave a good idea on how to read  (how to translate into Math)
this collection of words.

The  @greenestamps' idea goes in right direction,  but I would turn it inside out.

In my view,  the post should be translated this way :  " evaluate   log%280.2%2C25%29 ".

Then it really may look visually like  " Log of  0.2  Raise To The Power of  25 "
for some visitors unfamiliar with the subject (at the zero level of familiarity).


                In this interpretation,   log%280.2%2C25%29 = -2.         ANSWER

Solved,  in my interpretation.


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In the good old days,  doctors said :   a drop of nicotine kills a horse.

When applied to this task,  a description as in this post can kill a reader.