solve the equation. Separate by commas, if more than one answer.
x^(2)9^(x)-2x9^(x)=3(9^(x))

Question

solve the equation. Separate by commas, if more than one answer. 
x^(2)9^(x)-2x9^(x)=3(9^(x))

anonymous · Answer

$$x ^{2}9^{x}-2x9^{x}=3(9^{x})$$

anonymous · Answer

Do this...

anonymous · Answer

Bring over the right-hand side and take out the common factor of 9^x.  You have$$9^x(x^2-2x-3)=0$$

anonymous · Answer

That means

anonymous · Answer

either $$9^x=0$$or$$x^2-2x-3=0$$

anonymous · Answer

There is no x here that will make 9^x zero (if you plot any exponential function, you'll see that it never crosses below the x-axis)

anonymous · Answer

Thanks a lot for explaining the steps, much appreciated.

anonymous · Answer

But,$$x^2-2x-3=(x+1)(x-3)$$so your second factor has that$$(x+1)(x-3)=0 \rightarrow x=-1,3$$

anonymous · Answer

No worries.

anonymous · Answer

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anonymous · Answer

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anonymous · Answer

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anonymous · Answer

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anonymous · Answer

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