Write the exponential equation x = 11y in logarithmic form.
Solution:-
Recall y = logb x is called the logarithmic form of the equation and x = by is called the exponential form of the equation. The number b is called the base in both in both y = log b x and x = by , and y is the logarithm in y = log b x and the exponent in x = by. Thus, a logarithm is an exponent.
To write x = 11y in logarithmic form, number 11 is treated as base.
Recall that the exponent in the exponential form is the logarithmic form. The exponent in the equation x = 11y is y.
Thus, the logarithmic form of the equation x = 11y is y = log 11x.
A logarithm is merely a name for a certain exponent. In this case, log 11x is another name for the exponent y.