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.

Respuesta :

Answer:

[tex]2^{1.5} = 2.8284[/tex]. This means that Larissa is not correct.

Step-by-step explanation:

To solve logarithms, we have to consider the following:

[tex]\log_{a}(b)[/tex] = c means that [tex]a^{c} = b[/tex].

So, for example:

[tex]log_{2}(2) = 1[/tex] because [tex]2^{1} = 2[/tex].

[tex]log_{2}(4) = 2[/tex] because [tex]2^{2} = 4[/tex].

If [tex]2^{1.5} = 3[/tex], then Larissa is correct. However, [tex]2^{1.5} = 2.8284[/tex]. This means that Larissa is not correct.