How do you solve #2^(x^2-3)=15#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Shwetank Mauria Oct 18, 2016 #x=+-2.628# Explanation: #2^(x^2-3)=15# #hArrx^2-3=log_2 15=log15/log2=1.1761/0.3010=3.9073# and #x^2=3+3.9073=6.9073# and #x=sqrt6.9073=+-2.628# 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 1342 views around the world You can reuse this answer Creative Commons License