Solving Log6 36 = 5x+3: Can't get the Answer Right

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Homework Help Overview

The discussion revolves around solving the logarithmic equation Log6 36 = 5x + 3, with participants attempting to verify their solutions and identify errors in their calculations.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants share their attempts to solve the equation, with some expressing confusion over the use of equality signs and the placement of parentheses. There are discussions about checking the correctness of their answers and identifying mistakes in their calculations.

Discussion Status

Some participants have provided guidance by pointing out potential errors in the original poster's calculations, particularly regarding the handling of negative signs. Multiple interpretations of the problem are being explored, with no explicit consensus reached on the correct solution.

Contextual Notes

There are indications of missing parentheses and confusion over the equality sign, which may affect the clarity of the problem setup. Participants are also grappling with the implications of negative values in their solutions.

Rusho
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I got an answer, but I cannot get it to check correctly:

=6 ^5x+3 =36
=6 ^5x+3 = 6^2
=5x+3 =2
=5x = -3+2
=5x = -1
x= 1/5

But I put 1/5 into the equation and it does not work out correctly.
 
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Check your work again. I think you'll laugh.
 
Rusho said:
I got an answer, but I cannot get it to check correctly:

this equality sign means??->=6 ^(5x+3) =36 Missing parentheses:mad:
(=)6 ^(5x+3) = 6^2
Totally incorrect use of equality sign! :mad:-> =5x+3 =2
Totally incorrect use of equality sign! :mad:->=5x = -3+2
(=)5x = -1
x= 1/5
Where did the minus sign go?
 
Without the equals

6 ^5x+3 =36
6 ^5x+3 = 6^2
5x+3 =2
5x = -3+2
5x = -1
5x/5 = -1/5
x= - 1/5

OH I see now I get "2" and 6^2 =36 :)
 
[tex]6^{5*(-\frac{1}{5})+3}=6^{-1+3}=6^{2}=36[/tex]
your problem being?
 
Your problem was on the last lines:

5x = -1
x= 1/5


You forgot about the minus sign.
 
You should try being more negative. :smile: :smile:
 
Curious3141 said:
You should try being more negative. :smile: :smile:
:mad: :mad: :mad: :mad: :mad: :mad: :mad: :mad: :mad: :mad: :mad: :biggrin:
 

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