How do you simplify #10^(log sqrt x )#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Alan N. Aug 30, 2016 #sqrtx# (Assuming #log = log_10#) Explanation: Consider:# a=10^b -> log_10 a =b# In this example: #y = 10^(log_10sqrtx)# So, #a=y# and #b=log_10 sqrtx# in this case #:. log_10 y = log_10 sqrt(x) # Hence #y=sqrtx# 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 4748 views around the world You can reuse this answer Creative Commons License