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Popular >

2^{x+2}+2^x=5

Solution

2^{x + 2} + 2^{x} = 5

Solution

x = 0

Solution steps

2^{x + 2} + 2^{x} = 5

Factor

2^{x + 2} + 2^{x} : 5 \cdot 2^{x}

5 \cdot 2^{x} = 5

Divide both sides by

5

2^{x} = 1

Apply exponent rules

x ln (2) = ln (1)

Solve

x ln (2) = ln (1) : x = 0

x = 0

Popular Examples

10 \cdot 1 0^{x} = 60

16^{2x+3}=2^{3x+2}

1 6^{2 x + 3} = 2^{3 x + 2}

(27^x)/(9^{2x-1)}=3^{x+4}

\frac{2 7 ^{x}}{9 ^{2 x - 1}} = 3^{x + 4}

1 5^{3 a} + 7 = 67

7^{1+2x}-50\times 7^x+7=0

7^{1 + 2 x} - 50 \times 7^{x} + 7 = 0

Frequently Asked Questions (FAQ)

What is the answer to 2^{x+2}+2^x=5 ?
The answer to 2^{x+2}+2^x=5 is x=0
Solve for x: 2^{x+2}+2^x=5
The solution is x=0