Converting Exponential to Logarithmic Form
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 = 2401
To 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.
