SOLUTION: log4 (x^2 + 6) = log4 5x how do i solve this???

Question 211315: log4 (x^2 + 6) = log4 5x
how do i solve this???
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Equate the arguments.

Note: Remember that if , then

Subtract 5x from both sides.

Rearrange the terms.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the solutions are or

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