How do you calculate 8^(2/log 2) ? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Harish Chandra Rajpoot Jul 17, 2018 8^{2/{\log 2}}=10^6 Explanation: Given that 8^{2/{\log 2}} =(2^3)^{2/{\log 2}} =2^{6/{\log 2}} =2^{6\log_2(10)} =2^{\log_2(10^6)} =10^6 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 1496 views around the world You can reuse this answer Creative Commons License