SOLUTION: This question is about logs and I don't understand it at all can you please help me solve this equation: Solve the following {{{ log(4)(x^2-6x)= 2 }}}. So far I have {{{ (x^2-6x

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Question 1068947: This question is about logs and I don't understand it at all can you please help me solve this equation: Solve the following .
So far I have

Now, I'm stuck and I'm not sure if I answered the question or if there is more work to be shown?
Get back to me as soon as possible, thank you soo much and have a nice day/night!
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!
Let me guess, that you have log(4,(x^2-6x))=2, or as rendered, . If it is this, then your first step is wrong.

Put into exponential form, using base of 4:


and then

, and you can try solving this quadratic equation.
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
This question is about logs and I don't understand it at all can you please help me solve this equation: Solve the following .
So far I have

Now, I'm stuck and I'm not sure if I answered the question or if there is more work to be shown?
Get back to me as soon as possible, thank you soo much and have a nice day/night!
.

 ------- Converting to EXPONENTIAL form, or converting from: 

 ------ Subtracting - 42, or - 16 from both sides

(x - 8)(x + 2) = 0

 

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