+0  
 
0
50
4
avatar

If 3^x = 243^4, then what is x?

 Jul 9, 2020
 #1
avatar+744 
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+134 
+1

You can try to factor 243 out.

 Jul 9, 2020
 #3
avatar+637 
+2

\(3^x=243^4\\ 3^x=(3^5)^4\\\ 3^x=3^{20}\\ \boxed{x=20}\)

.
 Jul 9, 2020
 #4
avatar+744 
-2

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

 Jul 9, 2020

5 Online Users