How do logarithmic equations relate to exponential equations?

Logarithmic equations are the inverse of exponential equations.

Say you have the exponential equation of:

This is inversely equivalent to:

By general definition:

=

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.