Exponential Equations • Logarithmic Equations
An equation in which the variable occurs in an exponent is called an exponential equation. Although some may be solved by changing to logarithmic form, they are generally solved by taking the logarithm of each side and then using the properties of logarithms.
We can solve the exponential equation by writing it in logarithmic form. This gives
This method is good if we can directly evaluate the resulting logarithm.
Because and 8 are equal, the logarithms of and 8 are also equal. Therefore, we can also solve in a more ...