Question

Expand the logarithmic expression log(6x)^2 A) log 6 + log xB) (log6 + logx)^2C) 2(log6 + logx) D) 2 log6 + logx

Answer 1

For this case we have the following expression given:

$\text{log}(6x)^2$

We can use the following property:

$\text{log(a)}^x=\text{ x log(a)}$

And for this case we got:

$\text{ 2log(6x)}$

Now we can apply the following property:

$log(a\cdot b)=\log (a)\text{ +log(b)}$

Using this we have for our resut:

$2\left\lbrack \text{log}(6)\text{ +log(x)}\right\rbrack$

And the best answer for this case would be:

C) 2(log6 + logx)