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.