Larissa argued that since log2(2) = 1 and log2(4) = 2, then it must be true that log2(3) = 1.5. Is she correct? Explain how you know.

Question

asked Jul 1, 2020 198k views

1 Answer

Andrewsomething · Answer 1 · 2020-07-04T20:09:00+0000

Answer:

2^(1.5) = 2.8284 . This means that Larissa is not correct.

Explanation:

To solve logarithms, we have to consider the following:

$\log_(a)(b)$ = c means that
a^(c) = b .

So, for example:

log_(2)(2) = 1 because
2^(1) = 2 .

log_(2)(4) = 2 because
2^(2) = 4 .

If
2^(1.5) = 3 , then Larissa is correct. However,
2^(1.5) = 2.8284 . This means that Larissa is not correct.