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Popular >

4^{2x+1}-8^x=0

Solution

4^{2 x + 1} - 8^{x} = 0

Solution

x = - 2

Solution steps

4^{2 x + 1} - 8^{x} = 0

Add

8^{x}

to both sides

4^{2 x + 1} - 8^{x} + 8^{x} = 0 + 8^{x}

Simplify

4^{2 x + 1} = 8^{x}

Apply exponent rules

2 (2 x + 1) = 3 x

Solve

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

x = - 2

Popular Examples

2 e^{3 x} = 18

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

2^{r} = \frac{1}{16}

4^{x + 1} = 32

\sqrt[x+2]{8}=\sqrt[x-4]{32}

Frequently Asked Questions (FAQ)

What is the answer to 4^{2x+1}-8^x=0 ?
The answer to 4^{2x+1}-8^x=0 is x=-2
Solve for x: 4^{2x+1}-8^x=0
The solution is x=-2