What happens when you log transform the dependent data in an exponential growth curve?

The obtained transformed data will show a linear relation when you graph log (y) vs x

This is the mathematical demonstration:

Exponential function: y = A (B) ^x

log (y) = log A + x log B

log (y) = log A + (logB) x

log A is a constant and is the vertical axis-intercept

logB is a constant and is the slope of the graph

x is the independent variable

log A is a constant,