In the equation 2 ^ (x + 5) = 2 ^ (x + 3) + 6, the value of x is:
A. 2
B. 3
C. -4
D. 4
E. -2
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sanju09
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scoobydooby
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2 ^ (x + 5) = 2 ^ (x + 3) + 6
=>2 ^ (x + 5)-2 ^ (x + 3)=6
=>2^(x+3){(2^2)-1}=6
=>2^(x+3)=6/3=2
equating the powers on both sides,
x+3=1
=>x=-2
hence, E
=>2 ^ (x + 5)-2 ^ (x + 3)=6
=>2^(x+3){(2^2)-1}=6
=>2^(x+3)=6/3=2
equating the powers on both sides,
x+3=1
=>x=-2
hence, E
