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Write the equation in logarithmic form.
47= 16384
To write the equation 47 = 16384 in logarithmic form, we need to determine what logarithm base would make the equation true.
Let log_x 16384 = 47, where x is the base of the logarithm.
Using the logarithmic property that log_x (x^y) = y, we can rewrite the equation as:
log_x 16384 = 47
x^47 = 16384
Since 2^14 = 16384, the base x must be 2, making the equation:
log_2 16384 = 47
Therefore, the equation in logarithmic form is log base 2 of 16384 equals 47.