How do you solve #4^(3p)=10#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Shwetank Mauria Oct 17, 2016 #p=0.554# Explanation: Taking logarithm (to base #10#) on both sides of #4^(3p)=10# #3pxxlog4=log10=1# Hence #3p=1/log4=1/0.6021=`1.661# and #p=1.661/3=0.554# 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 2351 views around the world You can reuse this answer Creative Commons License