If 3^x = 243^4, then what is x?
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^
You can try to factor 243 out.
\(3^x=243^4\\ 3^x=(3^5)^4\\\ 3^x=3^{20}\\ \boxed{x=20}\)
yeah, nice job, we solved it the same way, gwenspooner85!
+773 
