What is the solution to the equation log₂(x) + 6 = 256 – 4?

To solve the equation log₂(x) + 6 = 256 – 4, we will first simplify the right side:

• 256 – 4 = 252.

Now our equation looks like this:

log₂(x) + 6 = 252.

Next, we can isolate log₂(x) by subtracting 6 from both sides:

• log₂(x) = 252 – 6
• log₂(x) = 246

To eliminate the logarithm and solve for x, we will rewrite the equation in exponential form. Remember, the definition of a logarithm states that if:

• log₂(a) = b, then a = 2^b.

Applying this to our equation, we get:

x = 2²⁴⁶.

Thus, the solution to the original equation is:

x = 2²⁴⁶.

In conclusion, the solution to the equation log₂(x) + 6 = 256 – 4 is x = 2²⁴⁶.