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How do you solve #3^(x-7)=27^(2x)#?

1 Answer

Jul 10, 2016

#x=-7/5#

Explanation:

Since #27=3^3#,

you can rewrite:

#3^(x-7)=(3^3)^(2x)#

#3^(x-7)=3^(6x)#

that's

#x-7=6x#

#5x=-7#

#x=-7/5#

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