How do you write (1/4)^-6=4096 in log form? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Shwetank Mauria Jun 15, 2016 log_(1/4)4096=-6 Explanation: As a^b=c can be written as log_ac=b (1/4)^(-6)=4096 can be written as log_(1/4)4096=-6 Answer link Related questions What is a logarithm? What are common mistakes students make with logarithms? How can a logarithmic equation be solved by graphing? How can I calculate a logarithm without a calculator? How can logarithms be used to solve exponential equations? How do logarithmic functions work? What is the logarithm of a negative number? What is the logarithm of zero? How do I find the logarithm log_(1/4) 1/64? How do I find the logarithm log_(2/3)(8/27)? See all questions in Logarithm-- Inverse of an Exponential Function Impact of this question 2072 views around the world You can reuse this answer Creative Commons License