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do you know you should try to get the bases equal?
try to get \[\sqrt{6}=216\]
then you just set the exponents equal to each other
thats not what i got. im double checking my work
i got -3/31
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\[\sqrt{6}^{8x}=216^{x-3}\] \[\sqrt{6}^{4}=216\] \[216^{4(8x)}=216^{x-3}\] \[32x=x-3\] \[31x=-3\] \[x=-3/31\]
i may have made a stupid mistake though. although i cant see it.
now i see what i did
you were right.
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