Approximate: log 1/2 5

Question

asked Oct 20, 2019 232k views

2 Answers

Deryck · Answer 1 · 2019-10-20T09:51:11+0000

Answer:

$\log_{(1)/(2)} 5=-2.32193$

Explanation:

Given : Expression
$\log_{(1)/(2)} 5$

To find : The solution of the given expression ?

Solution :

We have given expression
$\log_{(1)/(2)} 5$

Applying logarithmic property,

$\log_b a=(\log_e a)/(\log_e b)=(\ln a)/(\ln b)$

Where,
$\log _e$ is the natural logarithm indicated as
$\ln$

$\log_{(1)/(2)} 5=\frac{\ln (5)}{\ln {(1)/(2)}}$

$\frac{\ln (5)}{\ln {(1)/(2)}}=(1.60943)/( -0.69315)$

$\frac{\ln (5)}{\ln {(1)/(2)}}=-2.32193$

Therefore,
$\log_{(1)/(2)} 5=-2.32193$