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If 3^x = 243^4, then what is x?

 Jul 9, 2020
 #1
avatar+773 
0

Create equivalent expressions in the equation that all have equal bases, then solve for x.

x=20

Work: 3^5=243

3x=243^4

(3^5)^4=243^4

3^20, which leads to x=20.

Hope this helps, whymenotsmart^m^

 Jul 9, 2020
edited by whymenotsmart  Jul 9, 2020
edited by whymenotsmart  Jul 9, 2020
 #2
avatar+161 
+1

You can try to factor 243 out.

 Jul 9, 2020
 #3
avatar+781 
+2

3x=24343x=(35)4 3x=320x=20

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 Jul 9, 2020
 #4
avatar+773 
-2

yeah, nice job, we solved it the same way, gwenspooner85!

 Jul 9, 2020

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