Find the log of? Z=5.2e^0.866

1 Answer
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!=1b1, 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