Simplify logarithmic equations

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SUMMARY

The discussion centers on simplifying the logarithmic expression log2(1/8). The correct solution is confirmed as -3, derived from the equation 2^-3 = 1/8. Participants clarify that the initial confusion regarding the answer was resolved, affirming that -3 is indeed the accurate result.

PREREQUISITES
  • Understanding of logarithmic functions
  • Knowledge of the properties of exponents
  • Familiarity with base conversions in logarithms
  • Basic algebraic manipulation skills
NEXT STEPS
  • Study the properties of logarithms, including change of base formula
  • Practice simplifying logarithmic expressions with different bases
  • Explore exponential equations and their relationship with logarithms
  • Learn about logarithmic identities and their applications in problem-solving
USEFUL FOR

Students studying algebra, educators teaching logarithmic concepts, and anyone looking to strengthen their skills in simplifying logarithmic equations.

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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