Question #92330
• 3∧2x - 4(3∧x+1) + 27 = 0
1
Expert's answer
2019-08-06T10:33:19-0400

32x43x+1+27=03^{2x}-4*3^{x+1}+27=0.

32x123x+27=0.3^{2x}-12*3^x+27=0.

3x=121441082    or    3x=12+14410823^x=\frac{12-\sqrt{144-108}}{2}\;\;or\;\;3^x=\frac{12+\sqrt{144-108}}{2}

3x=3    or    3x=9.3^x=3\;\;or\;\;3^x=9.

x=1    or    x=2.x=1\;\;or\;\;x=2.


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