What is the answer to 2^{x+4}-2^{x+3}=1 ?

The answer to 2^{x+4}-2^{x+3}=1 is x=-3

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2^{x+4}-2^{x+3}=1

2^{x + 4} - 2^{x + 3} = 1

x = - 3

Solution steps

2^{x + 4} - 2^{x + 3} = 1

Factor

2^{x + 4} - 2^{x + 3} : 2^{x + 3}

2^{x + 3} = 1

Apply exponent rules

(x + 3) ln (2) = ln (1)

Solve

(x + 3) ln (2) = ln (1) : x = - 3

x = - 3

p, \frac{a ^{8}}{a ^{p}} = a^{2}

(- 1)^{x} = 0

3^{y} + 25 = 26. 2^{2} + 2. 3^{0}

4^{x} + 2 2^{x} = 12 1^{x}

3^{x} = - 3

What is the answer to 2^{x+4}-2^{x+3}=1 ?
The answer to 2^{x+4}-2^{x+3}=1 is x=-3
Solve for x: 2^{x+4}-2^{x+3}=1
The solution is x=-3