is it possible to have something like 6^x=1 and find a same base for 6 and 1?
S synapsis New member Joined Jan 19, 2006 Messages 28 May 2, 2006 #1 is it possible to have something like 6^x=1 and find a same base for 6 and 1?
skeeter Elite Member Joined Dec 15, 2005 Messages 3,216 May 2, 2006 #2 if 6<sup>x</sup> = 1, then x = 0 you can pretty much use any base desired ... if a does not equal b, and both are > 0, then a<sup>x</sup> = b<sup>x</sup> if and only if x = 0.
if 6<sup>x</sup> = 1, then x = 0 you can pretty much use any base desired ... if a does not equal b, and both are > 0, then a<sup>x</sup> = b<sup>x</sup> if and only if x = 0.
S soroban Elite Member Joined Jan 28, 2005 Messages 5,586 May 4, 2006 #3 Hello, synapsis! Is it possible to have something like \(\displaystyle 6^x\,=\,1\) and find a same base for 6 and 1? Click to expand... Yes . . . \(\displaystyle 6^x\:=\:1\;\;\Rightarrow\;\;6^x\:=\:6^0\)
Hello, synapsis! Is it possible to have something like \(\displaystyle 6^x\,=\,1\) and find a same base for 6 and 1? Click to expand... Yes . . . \(\displaystyle 6^x\:=\:1\;\;\Rightarrow\;\;6^x\:=\:6^0\)
