Find the log of? Z=5.2e^0.866

Question

Find the log of? Z=5.2e^0.866

1 Answer

Impact of this question

1811 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-12T10:13:23

$ln Z = ln 5.2 + 0.866$ $lnZ=ln5.2+0.866$

Explanation:

We have to

$Z = 5.2 e^{0.866}$ $Z=5.2e^0.866$

To find $ln Z$ $lnZ$ , we must apply a few properties of logarithms. If $a$ $a$ , $c$ $c$ and $b$ $b$ are real positive numbers, $b \neq 1$ $b!=1$ , then

${log}_{b} (a c) = {log}_{b} a + {log}_{b} c$ $log_b(ac)=log_ba+log_bc$
${log}_{b} b^{a} = a$ $log_b b^a=a$

Hence,

$ln Z = ln (5.2 e^{0.866}) = ln 5.2 + ln (e^{0.866}) = ln 5.2 + 0.866$ $lnZ=ln(5.2e^0.866)=ln5.2+ln(e^0.866)=ln5.2+0.866$

Science

Math

Humanities

... and beyond

Find the log of? Z=5.2e^0.866

1 Answer

Explanation:

Related questions

Impact of this question