Solve: y=log(5 x+3) for x

Step 1 ：The question is asking to solve the equation \(y=\log(5x+3)\) for x. This means we need to isolate x on one side of the equation.

Step 2 ：To do this, we can use the properties of logarithms to rewrite the equation in exponential form. The base of the logarithm is 10 (since it's not specified), so we can rewrite the equation as \(10^y = 5x + 3\).

Step 3 ：Then, we can solve for x by subtracting 3 from both sides and dividing by 5.

Step 4 ：The solution to the equation \(y=\log(5x+3)\) for x is \(\boxed{x = \frac{10^y}{5} - \frac{3}{5}}\).