SOLUTION: Solve algebraically for x: 27^(2x+1) = 94x I was told you can complete this problem by either using factoring or completing the square? But to complete the square doesn't the equa

Question 253896: Solve algebraically for x: 27^(2x+1) = 94x
I was told you can complete this problem by either using factoring or completing the square? But to complete the square doesn't the equation need to equal ZERO? Or can you set the problem to equal ZERO? Thank you for your wonderful help.
Found 2 solutions by jim_thompson5910, richwmiller:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Unfortunately, you can't solve exactly since the variable is both in the exponent and outside the exponent. So you'll have to find the approximate solution.

If on the other hand the problem is , then...

Start with the given equation.

Rewrite 27 as and 9 as

Multiply the exponents.

Multiply

Since the bases are equal, this means that the exponents are equal.

Distribute.

Subtract from both sides.

Subtract from both sides.

Combine like terms on the left side.

Divide both sides by to isolate .

Reduce.

----------------------------------------------------------------------

Answer:

So the solution is
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
27^(2x+1) = 94x
Are you sure you copied this right? This will involve logarithms not factoring nor completing the square.
To answer your question about equaling zero.
No it does NOT have to equal 0.
when you complete the square you just add the amount to both sides.
With any luck the amount not in the square will be a square too.

RELATED QUESTIONS
Hi, Can I get help with this question This polynomial is factorable, so you should be... (answered by Alan3354,ikleyn,MathLover1)
-2/x^2-4 + x-1/x^2-2x 1: What is the problem? What do you need to find or do? What will... (answered by MathLover1,greenestamps,MathTherapy)
Can someone explain how this problem works (if possible step by step so that i can... (answered by jim_thompson5910)
I need help completing the square for this problem. 16x^2-16x-5=0 So far I have... (answered by Msgenes)
I am taking college Algebra for the first time and since math has always been my worst... (answered by yhtong)
I was told to solve by factoring. 4x^3-28x^2+49x>0 I thought that with factoring you... (answered by Earlsdon)
Hi, I am studying for a test and could really use some help with this problem. I know... (answered by jim_thompson5910)
HELP!!! Solve the equation algebraically by factoring or using quadratic formula; x... (answered by stanbon,Earlsdon,jim_thompson5910)
I emailed you last night but was having computer problems, so thought I would try again.... (answered by stanbon)