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1.7 a, b (proofs about log)
1.8 a, b (evaluate sums)
1.11 a (proof about Fibonacci numbers and summations)
1.12 a, b (proofs about sumations)
E1. Using the definition of logarithm, explain why
log₁₀(2) = 1 / (log₂(10))
E2. Let x, p, and r be positive real numbers. Explain why
x^(logₚ(r)) = r^(logₚ(x))
Where ^ means exponentiation.
E3. Find each of the following quantities.
a) log₂(1024)
b) log₂(1/4)
c) log₄(8)