How do you approximate #log_5 8# given #log_5 2=0.4307# and #log_5 3=0.6826#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer GiĆ³ Nov 3, 2016 I found: #1.2921# Explanation: We can write: #log_5(8)=log_5(2*2*2)=log_5(2)+log_5(2)+log_5(2)=3log_5(2)=3*0.4307=1.2921# 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 1406 views around the world You can reuse this answer Creative Commons License