# Another another more challenging log question.

another another more challenging log question. :(

## Homework Statement

log6(5y − 5) = 4x^2 + 7

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## The Attempt at a Solution

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

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Mark44
Mentor

## Homework Statement

log6(5y − 5) = 4x^2 + 7

-

## 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.

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

Mark44
Mentor

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.

## Homework Statement

log6(5y − 5) = 4x^2 + 7

-

## 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.

Mentallic
Homework Helper