Question

Write the equation in logarithmic form 47=16384

Answer 1

To write the equation 47 = 16384 in logarithmic form, you need to determine the base of the logarithm. Assume the base is 10 and use log with a subscript of 10 to write the equation as log10(16384) = 47.

Step-by-step explanation:

To write the equation 47 = 16384 in logarithmic form, we need to determine the base of the logarithm. Let's assume the base is 10. The logarithmic form of the equation is log10(16384) = 47. This means that 16384 raised to the power of 10 is equal to 47.

Answer 2

`\bf \textit{exponential form of a logarithm} \\\\ log_a b=y \implies a^y= b\qquad\qquad % exponential notation 2nd form a^y= b\implies log_a b=y \\\\ -------------------------------\\\\ 4^7=16384\qquad \boxed{16384=2^(14)}\qquad 4^7=2^(14)\implies log_2(4^7)=14`