How do you simplify #e^lnx#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Bdub Mar 22, 2016 #e^lnx=x# Explanation: let # y=e^lnx# #ln y=lne^lnx#->Take ln of both sides #lny = lnx * ln e# -> use the property #log_b x^n = nlog_b x# #lny=lnx(1)#-> #ln_e e = 1#-> from the property #log_b b = 1# #lny = ln x# Therefore #y=x# 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 320263 views around the world You can reuse this answer Creative Commons License