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

Eileen Tapia

8 September, 19:50

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

+1

Answers (1)

Know the Answer?

Jaiden White · 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