Mathematics
TamiFitsgerald
1

log3(2x-5)=2 Answer is 41/2.  Why?

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(1) Answers
katiebabyyy

I guess that your question is: [latex]log[6*(2x-5)]=2[/latex] So, we can apply this property of log [latex]log_b~(a)=c\Leftrightarrow a=b^c[/latex] them... [latex]log[6*(2x-5)]=2[/latex] [latex]6*(2x-5)=10^2[/latex] [latex]12x-30=100[/latex] [latex]12x=100+30[/latex] [latex]12x=130[/latex] [latex]x=\frac{130}{12}[/latex] simplifying [latex]\boxed{\boxed{x=\frac{65}{6}}}[/latex]

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