What is the answer to 9^x=0.9 ?

The answer to 9^x=0.9 is x=(ln(0.9))/(2ln(3))

The solution is x=(ln(0.9))/(2ln(3))

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9^x=0.9

9^{x} = 0.9

x = \frac{ln ( 0.9 )}{2 ln ( 3 )}

Decimal Notation

x = - 0.04795 \dots

Solution steps

9^{x} = 0.9

Apply exponent rules

x ln (9) = ln (0.9)

Solve

x ln (9) = ln (0.9) : x = \frac{ln ( 0.9 )}{2 ln ( 3 )}

x = \frac{ln ( 0.9 )}{2 ln ( 3 )}

x, 5^{2 y} = 3^{2 x + 1}

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

3 e^{5 x} = 8943

2^{2 x} \cdot 2 = 3^{x} \cdot 3^{3}

7^{2 x} = 7^{x - 3}