What is the answer to 17^x=2 ?

The answer to 17^x=2 is x=(ln(2))/(ln(17))

The solution is x=(ln(2))/(ln(17))

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17^x=2

1 7^{x} = 2

x = \frac{ln ( 2 )}{ln ( 17 )}

Decimal Notation

x = 0.24465 \dots

Solution steps

1 7^{x} = 2

Apply exponent rules

x ln (17) = ln (2)

Solve

x ln (17) = ln (2) : x = \frac{ln ( 2 )}{ln ( 17 )}

x = \frac{ln ( 2 )}{ln ( 17 )}

3^{2 x - 3} = 27

2^{x + 2} + 3 \cdot 2^{x - 1} = 22

2^{2 x - 3} = 8

1 0^{x} = 7

3^{x + 2} + 3^{x} + 3^{x - 2} = 91