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Mathematics 14 Online
OpenStudy (anonymous):

5(1.06^2x+1)=11

OpenStudy (across):

What's the question?\[5(1.06^2x+1)=11?\]\[5(1.06^{2x}+1)=11?\]\[5(1.06^{2x+1})=11?\]

OpenStudy (anonymous):

use logarithms to solve (round 4 decimal places) sorry.

OpenStudy (across):

:) I meant, which of the three I posted above looks like what you've been asked to solve?

OpenStudy (anonymous):

oh and it's the third one 5(1.062x+1)=11

OpenStudy (anonymous):

yes. i'm sorry

OpenStudy (anonymous):

the third one you wrote ignore everything else.

OpenStudy (across):

The first thing you should do is get rid of that five like this\[1.06^{2x+1}=\frac{11}{5}.\]Now you have to take the logarithm with base 1.06 of both sides:\[\log_{1.06}1.06^{2x+1}=log_{1.06}\frac{11}{5}\implies2x+1=log_{1.06}\frac{11}{5}.\]Now you solve for x.

OpenStudy (anonymous):

that equaled 13.5313 and the book says it should equal 6.2657

OpenStudy (across):

\[x=\frac{1}{2}\log_{1.06}\frac{11}{5}-\frac{1}{2}\approx6.2657\]

OpenStudy (across):

So it's right. :)

OpenStudy (anonymous):

ok thanks. we just did it in class... x= (log(11/5)/log(1.06) divided by 2 = 6.765678179 thank you

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