Resposta:
640
Explicação passo a passo:
[tex]f(x)= log_{\sqrt{\sqrt{\sqrt{3}}}}x\\f(x)= log_{((3^{\frac{1}{2}})^\frac{1}{2})^\frac{1}{2}}x\\f(x)= log_{3^{\frac{1}{8}}}x\\f(x)= \frac{1}{\frac{1}{8}}log_{3}x\\\\\bold{f(x)= 8.log_{3}x}\\[/tex]
[tex]f(5) = 8.log_35\\f(45) = 8.log_345\\\\CB = f(45)-f(5)\\CB = 8.log_345-8log_35\\CB = 8(log_345-log_35)\\CB = 8(log_3\frac{45}{5})\\CB = 8(log_39)\\CB = 8.2\\\bold{CB = 16}[/tex]
[tex]A_{ABCD} = AB.CB\\A_{ABCD} = (45-5).16\\A_{ABCD} = 640[/tex]
