Question - Conversion Between Exponential and Logarithmic Forms
Solution:
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 = 2401Let'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) = xApplying this to the equation 7^4 = 2401, it converts to:log_7(2401) = 4This 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 = 2401So we have successfully demonstrated converting the equation from exponential to logarithmic form and back to exponential form.
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