To determine

To find: Find the limit limx→2-⁡log5⁡(8x-x4)

Answer

The limit is -∞.

Explanation

Calculation:

We have to find the limit limx→2-⁡log5⁡(8x-x4). Let t=8x-x4.

As x→2-, t=(8x-x4)→ 0, so

limx→2-⁡log5⁡(8x-x4)=limt→0⁡ln⁡t

Since limt→0⁡ln⁡t=-∞, therefore limx→2-⁡log5⁡(8x-x4)=-∞.

Conclusion:

The limit is -∞.