Find the log of? Z=5.2e^0.866 Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Hammer Jun 12, 2018 lnZ=ln5.2+0.866lnZ=ln5.2+0.866 Explanation: We have to Z=5.2e^0.866Z=5.2e0.866 To find lnZlnZ, we must apply a few properties of logarithms. If aa, cc and bb are real positive numbers, b!=1b≠1, then log_b(ac)=log_ba+log_bclogb(ac)=logba+logbc log_b b^a=alogbba=a Hence, lnZ=ln(5.2e^0.866)=ln5.2+ln(e^0.866)=ln5.2+0.866lnZ=ln(5.2e0.866)=ln5.2+ln(e0.866)=ln5.2+0.866 Answer link Related questions What is a logarithm? What are common mistakes students make with logarithms? How can a logarithmic equation be solved by graphing? How can I calculate a logarithm without a calculator? How can logarithms be used to solve exponential equations? How do logarithmic functions work? What is the logarithm of a negative number? What is the logarithm of zero? How do I find the logarithm log_(1/4) 1/64log14164? How do I find the logarithm log_(2/3)(8/27)log23(827)? See all questions in Logarithm-- Inverse of an Exponential Function Impact of this question 1816 views around the world You can reuse this answer Creative Commons License