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2^n+1 = 1/8solve each equation by solving Nthe answer is -4 but I need to solve how to do it

Sagot :

Solution

For this case we have the following equation:

[tex]2^{n+1}=\frac{1}{8}[/tex]

And we can do the following:

[tex]\frac{2^n}{2}=\frac{1}{8}[/tex]

Solving for n we have:

[tex]2^n=\frac{1}{4}[/tex]

Then we can apply natural log on both sides and we got:

[tex]n\ln (2)=\ln (\frac{1}{4})[/tex][tex]n=\frac{\ln (0.25)}{\ln (2)}=-4[/tex]

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