Question

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.

Answer 1

`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.