SOLUTION: Solve the following equation. Show all work. {{{2^(5x)*16^(1-x)=4^(x-3)}}}

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Question 317476: Solve the following equation. Show all work.

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!



Write 16 as  and write 4 as 



Remove the parentheses by multiplying the inner exponents by
the outer exponents:



Distribute in the exponents:



Add the exponents of 2 on the left:





The bases are the same and are positive and not 1, so
we may set the exponent of 2 on the left equal the exponent
of 2 on the right:




Edwin

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