If 8x-1 = \(\frac{1}{4}\), find x

Assessment: WAEC SSCE - General Mathematics - 2007 (Objective) Subject: General Mathematics

Question 1 Report

If 8x-1 = \(\frac{1}{4}\), find x
Answer Details
We know that 8x-1 = \(\frac{1}{4}\). We can write 8x-1 as (23)x-1 = 23x-3. Similarly, we can write 1/4 as 2-2. Therefore, we can write the given equation as 23x-3 = 2-2. Since the bases are equal, we can equate the exponents to get: 3x - 3 = -2 Adding 3 to both sides, we get: 3x = 1 Dividing both sides by 3, we get: x = \(\frac{1}{3}\) Therefore, the value of x is \(\frac{1}{3}\).
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