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Solve \(27^x = 9^{2x + 1}\)

 Jun 3, 2020
 #1
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Simplification!

 

27^x=(3^2)^2x+1

 

Convert to base 3!

 

(3^3)x

 

Exponent rules!

 

3^3x

 

Exponent rules, electric boogaloo!

 

3^3x=(3^2)^2x+1

 

uhh...

 

Derivative junk! a^f(x)=a^g(x) then f(x)=g(x)

 

Solve it!

 

x=-2

 

And you wanted to figure out what that junk is? Uhhh. 

 

*indescribable mumbling originating from Varxaax's mouth*

 

1/729

 

yay!

 Jun 3, 2020
edited by Varxaax  Jun 3, 2020

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