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$${{\mathtt{27}}}^{{\mathtt{x}}} = {\mathtt{3}}$$ 

 Dec 7, 2014

Best Answer 

 #2
avatar+33653 
+8

One way is to notice that $$27=3^3$$ so you have

 $$27^x=(3^3)^x=3^{3x}$$

Your equation then becomes

$$3^{3x}=3^1$$

so 3x = 1

so x = 1/3

.

 Dec 7, 2014
 #1
avatar+1832 
+5

one over 3 

1/3

 Dec 7, 2014
 #2
avatar+33653 
+8
Best Answer

One way is to notice that $$27=3^3$$ so you have

 $$27^x=(3^3)^x=3^{3x}$$

Your equation then becomes

$$3^{3x}=3^1$$

so 3x = 1

so x = 1/3

.

Alan Dec 7, 2014

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