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What is the expanded form of log2(8x)? a. 3 + log2(x) b. 8 + log2(x) c. 2 + log2(x) d. log2(8 + x) 2. What...

1. What is the expanded form of log2(8x)?
a. 3 + log2(x)
b. 8 + log2(x)
c. 2 + log2(x)
d. log2(8 + x)
2. What is the condensed form of log8(x) + log8(4)?
a. 4log8(x)
b. log8(4/x)
c. log8(4x)
d. log8(x + 4)
3. What is the expanded form of log5(25x)?
a. 5 + log5(x)
b. log5(25 + x)
c. 2 + log5(x)
d. 25 + log5(x)

Answer

  1. Answer: a. 3 + log2(x)

    Explanation: log2(8x) = log2(8) + log2(x) = 3 + log2(x) because 8 = 23.

  2. Answer: c. log8(4x)

    Explanation: log8(x) + log8(4) = log8(4x) by the product rule of logarithms.

  3. Answer: c. 2 + log5(x)

    Explanation: log5(25x) = log5(25) + log5(x) = 2 + log5(x) because 25 = 52.

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