Enrichment: More on Logarithms (Grade 12 NSC Matric Mathematics): Flashcards

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Enrichment: More on Logarithms
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Product law of logarithms: log⁡a(xy)\log_a(xy) equals?

log⁡a(x)+log⁡a(y)\log_a(x) + \log_a(y)

Quotient law: log⁡a(xy)\log_a(\frac{x}{y}) equals?

log⁡a(x)−log⁡a(y)\log_a(x) - \log_a(y)

Power law: log⁡a(xb)\log_a(x^b) equals?

blog⁡a(x)b \log_a(x)

Change of base formula for log⁡a(x)\log_a(x)

log⁡b(x)log⁡b(a)\frac{\log_b(x)}{\log_b(a)}

Value of log⁡10\log 10

11

Value of log⁡1\log 1

00

Value of log⁡100\log 100

22

Common logarithm log⁡a\log a means what base?

log⁡10a\log_{10} a

Logarithms and exponentials relationship

Inverse functions

Domain restriction for log⁡a(x)\log_a(x): x must be?

Positive (x>0x > 0)

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