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

User Boxuan
by
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1 Answer

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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)

User Steve Melia
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