Question - Converting Exponential to Logarithmic Form
Solution:
The image shows a handwritten question asking to convert the form of the following equation, specifically from exponential form to logarithmic form, and vice versa. The given equation is:7^x = 2401To convert from exponential form to logarithmic form, you apply the basic definition of logarithms. If a^b = c, then log_a(c) = b. Applying this to the given equation, you get:log_7(2401) = x.To find the value of x, you need to determine what power of 7 gives you 2401. 2401 is 7 raised to the fourth power since 7 * 7 * 7 * 7 = 2401.Therefore, the logarithmic form of the equation is:log_7(2401) = 4.Hence, x = 4.
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