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Solve for x: log6(x+29) - log6(x-6) = 2

User Ron
by
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1 Answer

3 votes

log_6(x+29)-log_6(x-6)=2

log_6{6^2}=2

log_6(x+29)-log_6(x-6)=log_6{6^2}=log_6{36}

log_6(x+29)-log_6(x-6)=(log_6(x+29))/(log_6(x-6))=log_6{36}

(x+29)/(x-6)=36

x+29=36(x-6)

x+29=36x-216

35x=245

x=(245)/(35)=7

log_6{36}-log_6{1}=2

User Nick Brady
by
8.6k points

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