What is the answer to 9^x+9^x=9 ?

The answer to 9^x+9^x=9 is x=(ln(9/2))/(2ln(3))

Solve for x: 9^x+9^x=9

The solution is x=(ln(9/2))/(2ln(3))

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9^{x} + 9^{x} = 9

x = \frac{ln ( \frac{9}{2} )}{2 ln ( 3 )}

Decimal Notation

x = 0.68453 \dots

Solution steps

9^{x} + 9^{x} = 9

Add similar elements:

9^{x} + 9^{x} = 2 \cdot 9^{x}

2 \cdot 9^{x} = 9

Divide both sides by

2

9^{x} = \frac{9}{2}

Apply exponent rules

x ln (9) = ln (\frac{9}{2})

Solve

x ln (9) = ln (\frac{9}{2}) : x = \frac{ln ( \frac{9}{2} )}{2 ln ( 3 )}

x = \frac{ln ( \frac{9}{2} )}{2 ln ( 3 )}

4^{x - 3} = 0. 5^{x}

(\frac{1}{4})^{4 x} = 64

3^{5 x - 4} = 2 7^{x + 2}

4^{2 x + 1} = 17 (4^{x}) - 15

2^{x + 2} + 2^{x + 1} + 2^{x} = 896

What is the answer to 9^x+9^x=9 ?
The answer to 9^x+9^x=9 is x=(ln(9/2))/(2ln(3))
Solve for x: 9^x+9^x=9
The solution is x=(ln(9/2))/(2ln(3))