Another another more challenging log question.

[hibachii]

another another more challenging log question. :(

Homework Statement

log₆(5y − 5) = 4x^2 + 7

Homework Equations

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The Attempt at a Solution

6^{( x^2 + 6x+5 )} +1

 

[Mark44]

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 log_b(M) = N can be rewritten as an exponential equation of the form M = b^N.

 

[hibachii]

isnt that what i did (given in the attempted solution)?

 

[Mark44]

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.

 

[The Tutor]

Homework Statement

log₆(5y − 5) = 4x^2 + 7

Homework Equations

-

The Attempt at a Solution

6^{( x^2 + 6x+5 )} +1

6^{4x^2+7}=5y-5
Take the log of both sides now.
log6^{4x^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.

 

[Mentallic]

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