How do you solve #-5 = log_2 x#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer zoe Oct 12, 2015 #x=1/32# Explanation: #log_2 x=-5# Using the rule #log_a M=N rArr M=a^N#, you can rewrite #log_2x=-5# as #x=2^-5# Using the indices rule #a^-m=1/a^m#, #x=1/2^5# #x=1/32# Answer link Related questions What is a logarithmic model? How do I use a logarithmic model to solve applications? What is the advantage of a logarithmic model? How does the Richter scale measure magnitude? What is the range of the Richter scale? How do you solve #9^(x-4)=81#? How do you solve #logx+log(x+15)=2#? How do you solve the equation #2 log4(x + 7)-log4(16) = 2#? How do you solve #2 log x^4 = 16#? How do you solve #2+log_3(2x+5)-log_3x=4#? See all questions in Logarithmic Models Impact of this question 1356 views around the world You can reuse this answer Creative Commons License