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log27(2x-1)=4/3

 Jan 4, 2016

Best Answer 

 #1
avatar+118612 
+10

log27(2x-1)=4/3

 

Do you mean

 

\(log_{27}(2x-1)=\frac{4}{3}\\ OR\\ log_{10}27(2x-1)=\frac{4}{3}\\ \)

 

I'm going tyo guess the first one

 

\(log_{27}(2x-1)=\frac{4}{3}\\ 27^{4/3}=2x-1\\ (27^{1/3})^4=2x-1\\ 3^4=2x-1\\ 81=2x-1\\ 82=2x\\ x=41 \)

 Jan 4, 2016
 #1
avatar+118612 
+10
Best Answer

log27(2x-1)=4/3

 

Do you mean

 

\(log_{27}(2x-1)=\frac{4}{3}\\ OR\\ log_{10}27(2x-1)=\frac{4}{3}\\ \)

 

I'm going tyo guess the first one

 

\(log_{27}(2x-1)=\frac{4}{3}\\ 27^{4/3}=2x-1\\ (27^{1/3})^4=2x-1\\ 3^4=2x-1\\ 81=2x-1\\ 82=2x\\ x=41 \)

Melody Jan 4, 2016
 #2
avatar+128707 
0

I believe that first interpretaton is the correct one, Melody....

 

 

cool cool cool

 Jan 4, 2016

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