If 2 × 2 + 2 + 2 = 25, what is the value of ? ? (Hint: Factor out on the left-side, rewrite the quantity in parentheses next to as a power of 2, apply the laws of exponents, set the exponents one each side of the equation equal, then solve for . )

Step-by-step explanation:

2^(x)+2^(x)+2^(x)+2^(x)+2^(x)=25

2^(5x)=25

log base (2) 25=5x

5=log base (2) 32

x=(log base (2) 25)/(log base (2) 32)

x=4.64385619/5

x=0.928771238

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