How do you solve #3^(x-2)=13^(4x)#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Tom Feb 5, 2016 Take natural logarithm both side #ln(3^(x-2))=ln(13^(4x))# #xln(3)-2ln(3) = 4xln(13)# #2ln(3)=xln(3)-4xln(13)# #2ln(3)=x(ln(3)-4ln(13))# #(2ln(3))/(ln(3)-4ln(13)) = 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 1584 views around the world You can reuse this answer Creative Commons License