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Popular >

4^{x+3}+4^x=260

Solution

4^{x + 3} + 4^{x} = 260

Solution

x = 1

Solution steps

4^{x + 3} + 4^{x} = 260

Factor

4^{x + 3} + 4^{x} : 65 \cdot 4^{x}

65 \cdot 4^{x} = 260

Divide both sides by

65

4^{x} = 4

Apply exponent rules

x = 1

Popular Examples

8^{x + 2} = 4

2^{x+1}+2^{x-1}+2^x=28

2^{x + 1} + 2^{x - 1} + 2^{x} = 28

25^x+5^{1+2x}=20

2 5^{x} + 5^{1 + 2 x} = 20

3^{2 x - 1} = 1

7 (8^{x + 1}) = 448

Frequently Asked Questions (FAQ)

What is the answer to 4^{x+3}+4^x=260 ?
The answer to 4^{x+3}+4^x=260 is x=1
Solve for x: 4^{x+3}+4^x=260
The solution is x=1