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?

Answer 1

Answer:

$2^{1.5} = 2.8284$. This means that Larissa is not correct.

Step-by-step 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.