How do you condense #log 2 ln 8 +5 ln z#? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer Καδήρ Κ. Jul 20, 2017 #ln(root(ln10)(8^ln2)*z^5)# Explanation: We know that #logx=lnx/ln10# so let's use this. #log2ln8+5lnz=ln2/ln10*ln8+lnz^5=# #ln8^(ln2/ln10)+lnz^5=ln(root(ln10)(8^ln2)*z^5)# Answer link Related questions What is the natural log of e? What is the natural log of 2? How do I do natural logs on a TI-83? How do I find the natural log of a fraction? What is the natural log of 1? What is the natural log of infinity? Can I find the natural log of a negative number? How do I find a natural log without a calculator? How do I find the natural log of a given number by using a calculator? How do I do natural logs on a TI-84? See all questions in Natural Logs Impact of this question 1877 views around the world You can reuse this answer Creative Commons License