How do you simplify #log_ 5 sqrt2^2 #? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Bdub Mar 22, 2016 #log_5 sqrt2^2~~0.43# Explanation: #log_5 sqrt2^2# #=log_5 2# #=log2/log5#-> use property #log_bx=logx/logb# #~~0.43# 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 1401 views around the world You can reuse this answer Creative Commons License