What is the solution of log2x 5 25 2?

To solve the expression log₂x 5 25 2, we first need to clarify what operation we are performing. It looks like a logarithm is involved, specifically with base 2. Let’s break it down:

1. **Identify the Logarithmic Expression**: The expression log₂(5 + 25 – 2) translates to: calculate the logarithm base 2 of the sum of 5, 25, and then subtract 2.

2. **Calculate Inside the Logarithm**: First, we compute the operations inside the logarithm:

• 5 + 25 = 30
• 30 – 2 = 28

Thus, we simplify it to log₂(28).

3. **Use the Change of Base Formula If Needed**: Now, log₂(28) can be computed directly if you have a calculator, or you can use the change of base formula:

log2(28) = log10(28) / log10(2)

4. **Final Calculation**: Using a calculator:

• log₁₀(28) ≈ 1.447
• log₁₀(2) ≈ 0.301

So, dividing these values gives us:

log2(28) ≈ 1.447 / 0.301 ≈ 4.81

In conclusion, the solution to the expression is approximately 4.81.