Question

Approximate: log 1/2 5

Answer 1

Answer:

$\log_{\frac{1}{2}} 5=-2.32193$

Step-by-step explanation:

Given : Expression $\log_{\frac{1}{2}} 5$

To find : The solution of the given expression ?

Solution :

We have given expression $\log_{\frac{1}{2}} 5$

Applying logarithmic property,

$\log_b a=\frac{\log_e a}{\log_e b}=\frac{\ln a}{\ln b}$      

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

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

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

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

Therefore, $\log_{\frac{1}{2}} 5=-2.32193$

Answer 2

Answer:

-2.32193...

Step-by-step explanation:

log.5 (5)