What is the first step to solve the equation log2(x) + log2(x) = 6 + 4?

To solve the equation log₂(x) + log₂(x) = 6 + 4, we first need to simplify the equation.

The left side of the equation, log₂(x) + log₂(x), can be combined. Since adding logarithms with the same base is equivalent to multiplying their arguments, we can rewrite it as:

2 * log₂(x) = 10

Now, we will divide both sides of the equation by 2:

log₂(x) = 10 / 2

This simplifies to:

log₂(x) = 5

At this point, we’ve successfully simplified the equation enough to apply the definition of logarithms. Recall that if log₂(x) = 5, then:

x = 2⁵

Finally, calculating this gives:

x = 32

Thus, the first step in solving the equation is simplifying the left side to 2 * log₂(x) = 10.