Question

dados f(x)= log₃ (x+1), g(x)= 4+log₂x e h(x)= log 2x, determine:

a) f(2)
b) g(2)
c) h(5)
d) h(50)
e) g(1)
f) f(0)​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{f(x) = log_3\:(x + 1)}$

$\mathsf{g(x) = 4 + log_2\:x}$

$\mathsf{h(x) = log\:2x}$

$\mathsf{a)\:f(2) = log_3\:(2 + 1) \iff f(2) = log_3\:3 = 1}$

$\mathsf{b)\:g(2) = 4 + log_2\:2 \iff g(2) = 4 + 1 = 5}$

$\mathsf{c)\:h(5) = log\:2(5) \iff h(5) = log\:10 = 1}$

$\mathsf{d)\:h(50) = log\:2(50) \iff h(5) = log\:100 = 2}$

$\mathsf{e)\:g(1) = 4 + log_2\:1 \iff g(1) = 4 + 0 = 4}$

$\mathsf{f)\:f(0) = log_3\:(0 + 1) \iff f(0) = log_3\:1 = 0}$