How do you evaluate #log_2 (0.25)#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Bdub Mar 22, 2016 #log_2(0.25)##=-2# Explanation: #log_2(0.25)# #=log_2(1/4)# #=log_2 (1/2^2)# #=log_2 2^-2#->use property #x^-n=1/x^n# #=-2log_2 2#-> use property #log_bx^n=nlog_bx# #=-2 (1)#-> use property #log_b b=1# #=-2# Answer link Related questions What is the common logarithm of 10? How do I find the common logarithm of a number? What is a common logarithm or common log? What are common mistakes students make with common log? How do I find the common logarithm of 589,000? How do I find the number whose common logarithm is 2.6025? What is the common logarithm of 54.29? What is the value of the common logarithm log 10,000? What is #log_10 10#? How do I work in #log_10# in Excel? See all questions in Common Logs Impact of this question 13328 views around the world You can reuse this answer Creative Commons License