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Another another more challenging log question.

  • Thread starter hibachii
  • Start date
  • #1
17
0
another another more challenging log question. :(

Homework Statement


log6(5y − 5) = 4x^2 + 7


Homework Equations



-

The Attempt at a Solution


6( x^2 + 6x+5 ) +1
 

Answers and Replies

  • #2
33,168
4,852


Homework Statement


log6(5y − 5) = 4x^2 + 7


Homework Equations



-

The Attempt at a Solution


6( x^2 + 6x+5 ) +1
You started with an equation - you should end with an equation.

An equation of the form logb(M) = N can be rewritten as an exponential equation of the form M = bN.
 
  • #3
17
0


isnt that what i did (given in the attempted solution)?
 
  • #4
33,168
4,852


No. For one thing, what you wrote isn't an equation, and it should be. For another thing, what you wrote doesn't follow the same pattern as the exponential equation I wrote.
 
  • #5
12
0


Homework Statement


log6(5y − 5) = 4x^2 + 7


Homework Equations



-

The Attempt at a Solution


6( x^2 + 6x+5 ) +1
64x^2+7=5y-5
Take the log of both sides now.
log64x^2+7=log5y-5
(4x2+7)log6=log5y-5

From here, isolate for one of the variables and substitute it into the original equation. Solve for the other once that is done.
 
  • #6
Mentallic
Homework Helper
3,798
94


What is your question?
Taking the exponential of both sides and then the log again really defeats the purpose of getting anywhere...
 

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