Answer:
3.
Step-by-step explanation:
From the question given above, the following data were obtained:
Logᵦ 8 = 3
Logᵦ 0.5 = – 1
Logᵦ 4B =?
Next, we shall determine the value of B. This can be obtained as follow:
Logᵦ 8 = 3
8 = B³
Take the cube root of both side.
B = 3√8
B = 2
Finally, we shall determine the value of Logᵦ 4B. This can be obtained as follow:
Logᵦ 4B =
B = 2
Logᵦ (4×2) = Logᵦ 8
Recall from the question given:
Logᵦ 8 = 3
Therefore,
Logᵦ 4B = Logᵦ 8 = 3
Thus, the value of Logᵦ 4B is 3.
