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Find the value of x if 9^x - 6*3^x - 27 = 0.

 Feb 14, 2022
 #1
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x = 5.

 Feb 14, 2022
 #3
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Please do not post random answers here. First of all, 9^5 is some big random number. We already know that it is incorrect. 

Guest Feb 14, 2022
 #2
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Bit hard to solve it the mathy way, so we do it the stupider way. 

 

x = 1 -- fail

x = 2 -- 81 - 9*6 = 81-54 = 27 -- correct

 

so x = 2.

 Feb 14, 2022
 #4
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Notice that all the numbers will be a factor of 9; no matter what x is, under certain conditions it will be a difference of multiples of 9.

 Feb 15, 2022

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