Write the inverse of y = 14^{x} in logarithmic form.

**Solution:-**

To find the inverse of y = 14^{x}, first rewrite the equation by interchanging x and y.

x = 14^{y}

Solve the new equation for y . Here, y is the power to which 14 raised to get the number x.

For x > 0, b > 0, and b ≠ 1, the logarithmic function to the base b is y = log _{b}x, which is defined by x = b^{y}.

Now write the inverse in logarithmic form.

y = log _{14}x

Therefore, the inverse of y = 14^{x} in logarithmic form is y = log _{14}x.