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Summary Logarithm Properties - One-Page Mind Map | High School Mathematics

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Second Year / 8th Grade
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Mathematics
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This one-page mind map provides a clear and concise overview of logarithm properties. It includes the definition of logarithms, domain conditions, change of base formula, and the main logarithmic properties in an easy-to-read visual format. Perfect for high school students, exam preparation, quick revision, and mathematics study sessions.

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LOGARITHMS
Definition
log_a(x)=b iff a^b=x
Properties
log_a(1)=0
log_a(a)=1
log_a(a^n)=n
log_a(x^p)=p·log_a(x)
log_a(x1·x2)=log_a(x1)+log_a(x2)
log_a(x1/x2)=log_a(x1)-log_a(x2)
Domain Conditions
a>0, a≠1, x>0
Change of Base
log_b(x)=log_a(x)/log_a(b)=ln(x)/ln(b)=log(x)/log(b)

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  • logarithm properties
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  • mathematics
  • algebra
  • high school math
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