Example Question - equation conversion

Conversion Between Exponential and Logarithmic Forms

The image shows a written question that asks to convert an equation from exponential form to logarithmic form and vice versa. The equation given is: 7^4 = 2401 Let's first convert this exponential form to logarithmic form. The general relationship between exponential and logarithmic forms is: If b^x = y, then log_b(y) = x Applying this to the equation 7^4 = 2401, it converts to: log_7(2401) = 4 This means the logarithm (base 7) of 2401 is equal to 4. Now let's convert from logarithmic form back to exponential form. Using the same relationship backward, the logarithmic form log_7(2401) = 4 converts to: 7^4 = 2401 So we have successfully demonstrated converting the equation from exponential to logarithmic form and back to exponential form.