What is the answer to 0.5^{x+7}\times 0.5^{1-2x}=2 ?

The answer to 0.5^{x+7}\times 0.5^{1-2x}=2 is x=9

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0.5^{x+7}\times 0.5^{1-2x}=2

0. 5^{x + 7} \cdot 0. 5^{1 - 2 x} = 2

x = 9

Solution steps

0. 5^{x + 7} \cdot 0. 5^{1 - 2 x} = 2

Apply exponent rules

- (- x + 8) = 1

Solve

- (- x + 8) = 1 : x = 9

x = 9

x^{6} + 5 x^{3} + 6

y, x = y^{3}

x^{6} + 4 x^{4} - x^{2} - 4 = 0

(x - 3)^{4} - 8 (x - 3)^{2} - 9 = 0

y, y^{2} = x^{3}

What is the answer to 0.5^{x+7}\times 0.5^{1-2x}=2 ?
The answer to 0.5^{x+7}\times 0.5^{1-2x}=2 is x=9
Solve for x: 0.5^{x+7}\times 0.5^{1-2x}=2
The solution is x=9