Answer:
n = -2/5
Step-by-step explanation:
n/8 - 7n/16 = 1/8
2n/16 - 7n/16 = 2/16 (making common denominators)
-5n/16 = 2/16 (Simplifying the equation)
-5n = 32/16 (Multiplying both sides by 16)
-5n = 2
n = -2/5
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A) 2^(x+3)= 4^(2x)
make base number the same
2^(x+3)= 2^2 (2x)
set the exponents equal to eachother
x+3=2 (2x)
x+3=4x
-x both sides
3=3x
÷3 both sides
x=1
b) 16^(1/5)×2^(x)=8^(3/4)
make base same number
2^4 (1/5)×2^(x)=2^3 (3/4)
2^(4/5)×2^(x)=2^(9/4)
set exponents
4/5 +x=9/4
-4/5 both sides
x= 29/20
(x-10)(x-2)=0
x(x-2) -10(x-2)=0
x^2 -2x -10x -20 =0
x^2 -12x -20= 0
Answer:
x/(-5/8)
Step-by-step explanation: