How do you solve #8.2^(n-3)=42.5#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Bdub Oct 27, 2016 #n=ln42.5/ln8.2 +3 ~~4.78# Explanation: #8.2^(n-3) = 42.5# #ln 8.2^(n-3)=ln 42.5# #(n-3) ln 8.2=ln 42.5#-Use the property #ln x^n=n* ln x# #n-3= ln42.5/ln8.2# #n=ln42.5/ln8.2 +3 ~~4.78# 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 1573 views around the world You can reuse this answer Creative Commons License