How do you write #log_.25 16=-4# in exponential form? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Binayaka C. Jul 10, 2018 # (0.25)^-4=16 # Explanation: #log_a m= x# then , # a^x =m# #log_.25 16 = -4 or log_(1/4) 16 = -4# or #16= (1/4)^-4 or 16 = 1/(1/4)^4 :. 16 = 16# # (0.25)^-4=16 # [Ans] 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 1603 views around the world You can reuse this answer Creative Commons License