Write the exponential equation x = 11^{y} in logarithmic form.

**Solution:-**

Recall y = log_{b} x is called the logarithmic form of the equation and x = b^{y} 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 = b^{y} , and y is the logarithm in y = log _{b} x and the exponent in x = b^{y}. Thus, a logarithm is an exponent.

To write x = 11^{y} 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 = 11^{y} is y.

Thus, the logarithmic form of the equation x = 11^{y} is y = log _{11}x.

A logarithm is merely a name for a certain exponent. In this case, log _{11}x is another name for the exponent y.