How do you calculate #Log_2(2)#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Shwetank Mauria Jul 19, 2016 #log_2(2)=1# Explanation: An expression in exponential form #a^n=b# is written as #log_ab=n#. Now #a^1=a# for all #a#, hence #log_a(a)=1#. Hence, #log_2(2)=1# as #2^1=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 3230 views around the world You can reuse this answer Creative Commons License