Question

Simplify:
$2\log 3 - \frac{1}{2} \log 16 + \log 12$

Answer 1

log3^2-log4+log12
log9×12/4
log 27

Answer 2

Answer:

$2log3-\frac{1}{2}log16+log12=1.4313$

Step-by-step explanation:

In the given question,

We have the equation given to us as,

$2log3-\frac{1}{2}log16+log12$

So now,

On using the properties of the logarithms like,

$alogb=logb^{a}$

and also the other property of the logarithms states to us that,

$loga+logb=logab\\and,\\loga-logb=log\frac{a}{b}$

So,

On using the properties of the logarithms same as stated above we get,

$2log3-\frac{1}{2}log16+log12=log9-log4+log12\\=log\frac{108}{4}\\=log27\\=1.4313$

Therefore, the final simplified solution of the given equation is given by,

1.4313.

Hence,

$2log3-\frac{1}{2}log16+log12=1.4313$