Final answer:
The exponential equation 4^2=16 can be written in logarithmic form as log_4(16)=2, but none of the provided options match this correct logarithmic form.
Step-by-step explanation:
The given exponential equation is 42=16. To convert this into equivalent logarithmic form, we use the definition of a logarithm. According to the logarithmic properties, the logarithm of a number is the exponent to which the base must be raised to obtain that number. Thus, the equivalent logarithmic form of 42=16 is log416=2.
Looking at the provided options, none of the choices correctly match the conversion from the exponential form to logarithmic form, since the correct base and the exponent in the logarithmic form are not present in the options.