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Solve for x: 2^4x + 2^4+3 = 144

Solve for x: 2^4x + 2^4+3 = 144-example-1

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2^4x+2^4x+3=144
make factor
(1+2^3)2^4x=144
2^3=8, put it in the equation
(1+8)2^4x=144
(9)2^4x=144
divide both sides by 9
2^4x=16
write 16 in exponential form so that bases become same
2^4x=2^4
cancel 2 from both sides
4x=4
x=4/4
x=1
User Tom Kregenbild
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