How do you simplify #log_x sqrt3 = ¼#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Bdub Mar 22, 2016 #x=9# Explanation: #log_x sqrt3 = 1/4# #x^(1/4) = sqrt3#-> use property #y=log_bx iff b^y=x# #(x^(1/4))^4=(3^(1/2))^(4# #x^(4/4) = 3^(4/2)# #x^1=3^2# #x=9# 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 1924 views around the world You can reuse this answer Creative Commons License