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100 Points! Algebra question. Solve the equation. Please show as much work as possible. Photo attached. Thank you!

100 Points! Algebra question. Solve the equation. Please show as much work as possible. Photo attached. Thank you!
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4 votes
100 Points! Algebra question. Solve the equation. Please show as much work as possible. Photo attached. Thank you!

100 Points! Algebra question. Solve the equation. Please show as much work as possible-example-1
User Steini
by
7.5k points

1 Answer

6 votes
set the exponents equal
2^-3x+18 = 2^27x-6

move the terms
-3x+18=27x-6

collect like terms
-3x-27x=-6-18

divide both sides
-30x=-24

answer : x=4/5
User Kojoru
by
8.3k points
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