Simplify logarithmic equations

AI Thread Summary
The discussion focuses on simplifying the logarithmic expression log2(1/8). One participant initially claims the answer is -3 but doubts its correctness. Another confirms that -3 is indeed the correct answer, explaining that log2(1/8) equals -3 because 2 raised to the power of -3 equals 1/8. The conversation also reflects frustration with a teacher's response. The correct simplification of the logarithmic equation is confirmed as -3.
hibachii
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Homework Statement



Simplify

log21/8


Homework Equations


-


The Attempt at a Solution


the answer i got was -3 but it is not right.
 
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hibachii said:

Homework Statement



Simplify

log21/8


Homework Equations


-


The Attempt at a Solution


the answer i got was -3 but it is not right.
-3 is the correct answer.

log2(1/8) = -3
This equation is equivalent to 2-3 = 1/8.
 
ok thanks. teacher is a douche
 

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