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

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Enrichment: More on Logarithms
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What does the product law state for log⁡a(xy)\log_a(xy)?

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

What does the quotient law state for log⁡a(xy)\log_a(\frac{x}{y})?

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

What is the value of log⁡100\log 100?

22

What domain restriction applies to logarithms for log⁡a(x)\log_a(x)?

x>0x > 0

What does the power law state for log⁡a(xb)\log_a(x^b)?

blog⁡a(x)b \log_a(x)

What is the value of log⁡a1\log_a 1 for any base aa?

00

Simplify log⁡5+log⁡2\log 5 + \log 2 using the product law.

log⁡10\log 10

Simplify log⁡40−log⁡4\log 40 - \log 4 using the quotient law.

log⁡10\log 10

If log⁡p=2\log p = 2, what is the value of pp?

100100

What is the change of base formula for log⁡a(x)\log_a(x)?

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

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