For a certain base, b, logb^8=3 and logb^0.5=-1 The value of logb^4b is 0, -3, 3

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.

x= 149. 24+7=31. 180-31=149

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