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1 vote
Solve 3log2^x=27.
the ans for this is 8 please help me slove this

1 Answer

4 votes
So we have the equation
3log2^(x)=27, and we want to solve for
x.

First, we are going to apply the log of a power rule:
loga^(x)=xloga

3log2^(x)=27

3xlog2=27

Next, we are going to divide both sides of the equation by
3log2:

3xlog2=27

(3xlog2)/(3log2) = (27)/(3log2)

x= (27)/(3log2)

Last but not least, we can use a calculator to evaluate the right hand side of the equation:

x= (27)/(3log2)

x=29.8974

We can conclude that the solution of our logarithmic function is
x=29.8974. I don't know who told you that the correct answer is 8, but they is wrong.
User Geoff Scott
by
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