The equation y = ln(x) states that y is equal to the natural logarithm of x. The natural logarithm is defined as the area under the curve of y = 1/t between t = 1 and t = x.
The graph of y = ln(x) is a curve that increases from negative infinity at x = 0 to positive infinity as x increases to infinity. It passes through the x axis at x = 1, y = 0. The gradient of the graph of y = ln(x) gradually decreases as x increases. There is no real solution of the equation y = ln(x) when x is negative.