Which expressions are equivalent to the one below? Check all that apply. log2 16 + log2 16 A. log2 (28) B. 8 C. log 256 D. log2 256

Question

Mathematics

Markus

31 July, 21:59

Which expressions are equivalent to the one below? Check all that apply. log2 16 + log2 16 A. log2 (28) B. 8 C. log 256 D. log2 256

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Answers (1)

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John Cunningham · Answer 1

log_a b=x ⇔a^x=b

Then:

log_2 16=x ⇔ 2^x=16

16=2*2*2*2=2⁴

2^x=2⁴

x=4

so:

log_2 16=4

We have the next operation:

log_2 16 + log_16=4+4=8

Answer: B. 8