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Popular >

2^x+2^{x+3}=9

Solution

2^{x} + 2^{x + 3} = 9

Solution

x = 0

Solution steps

2^{x} + 2^{x + 3} = 9

Factor

2^{x} + 2^{x + 3} : 9 \cdot 2^{x}

9 \cdot 2^{x} = 9

Divide both sides by

9

2^{x} = 1

Apply exponent rules

x ln (2) = ln (1)

Solve

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

x = 0

Popular Examples

(1.25^n)/(0.5^n)= 53/15

\frac{1.2 5 ^{n}}{0. 5 ^{n}} = \frac{53}{15}

(1/4)^x+(1/2)^x-6=0

(\frac{1}{4})^{x} + (\frac{1}{2})^{x} - 6 = 0

8*3^{n-1}-21=51

8 \cdot 3^{n - 1} - 21 = 51

3^{2x}-10\times 3^x+21=0

3^{2 x} - 10 \times 3^{x} + 21 = 0

3^{2x-4}=3^{5x+8}

3^{2 x - 4} = 3^{5 x + 8}

Frequently Asked Questions (FAQ)

What is the answer to 2^x+2^{x+3}=9 ?
The answer to 2^x+2^{x+3}=9 is x=0
Solve for x: 2^x+2^{x+3}=9
The solution is x=0