How do you solve the equation #log_2x=-3#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer sankarankalyanam Mar 22, 2018 #color(purple)(x = 1/8 = 0.125# Explanation: From the above table, #log_a m = n, " then " m = a^n# Given : #log _2 x = -3# #:. x = 2^(-3) = 1/2^3 = 1/8 = 0.125# 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 3347 views around the world You can reuse this answer Creative Commons License