SOLUTION: Please help me this problem. Thank you so much. Here is 23^(x) = 10^(-3x)

Question 378703: Please help me this problem. Thank you so much. Here is 23^(x) = 10^(-3x)
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
23^(x) = 10^(-3x)
x*log(23) = -3x
x*log(23) + 3x = 0
x*(log(23) + 3) = 0
x = 0

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Take the natural log of both sides.

Pull down the exponents.

Add to both sides.

Factor out the GCF 'x' from the left side.

Divide both sides by to isolate 'x'.

Divide.

So the solution is

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
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