3 + 2 log2(x) = log2(10x − 3)

Sure, let's solve the equation step by step:

1. First, we need to isolate the logarithmic expressions. So, let's subtract 3 from both sides of the equation:

   2 log2(x) = log2(10x - 3) - 3

2. Now, we can rewrite the equation in exponential form to get rid of the logarithms. Remember that logb(a) = c can be rewritten as b^c = a. So, we have:

   2^2 log2(x) = 2^(log2(10x - 3) - 3)

3. Simplifying the left side of the equation gives us:

   4x = 2^(log2(10x - 3) - 3)

4. Now, we can rewrite the right side of the equation back in logarithmic form:

   4x = log2((10x - 3)^2^(-3))

5. Now, we have an equation with a single variable that we can solve. However, this equation is quite complex and may not have a simple algebraic solution. You may need to use numerical methods to find the value of x that satisfies this equation.