Elsa tries to solve the following equation, and determines there is no solution. Is she correct? Explain.

log2x = log2 (3x + 5) + 4

Elsa's answer is incorrect since there is a solution of the given equation. In the given logarithmic problem, we need to simplify the problem by transposing log2 (3x+5) in the opposite side. The equation will now be log2x-log2 (3x+5) = 4. Using properties of logarithm, we further simplify the problem into a new form log (2x/6x+10) = 4. Then transform the equation into base form 10^4 = (2x/6x+10) and proceed in solving for x value which is equal to 1.667.