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Popular >

4^x=10-4^{x+1}

Solution

4^{x} = 10 - 4^{x + 1}

Solution

x = \frac{1}{2}

+1

Solution steps

4^{x} = 10 - 4^{x + 1}

Add

4^{x + 1}

to both sides

4^{x} + 4^{x + 1} = 10 - 4^{x + 1} + 4^{x + 1}

Simplify

4^{x} + 4^{x + 1} = 10

Factor

4^{x} + 4^{x + 1} : 5 \cdot 4^{x}

5 \cdot 4^{x} = 10

Divide both sides by

5

4^{x} = 2

Apply exponent rules

2 x = 1

Solve

2 x = 1 : x = \frac{1}{2}

x = \frac{1}{2}

Popular Examples

3^{2 x - 1} = 27

e^{2 x} = 9

sqrt(\sqrt{2)}=4^m

2 = 4^{m}

3^x+3^{1-x}= 28/3

3^{x} + 3^{1 - x} = \frac{28}{3}

2^{x} = 3 - x

Frequently Asked Questions (FAQ)

What is the answer to 4^x=10-4^{x+1} ?
The answer to 4^x=10-4^{x+1} is x= 1/2
Solve for x: 4^x=10-4^{x+1}
The solution is x= 1/2