What is the answer to 5^{1-2x}=9 ?

The answer to 5^{1-2x}=9 is x=-(2ln(3)-ln(5))/(2ln(5))

Solve for x: 5^{1-2x}=9

The solution is x=-(2ln(3)-ln(5))/(2ln(5))

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5^{1 - 2 x} = 9

x = - \frac{2 ln ( 3 ) - ln ( 5 )}{2 ln ( 5 )}

Decimal Notation

x = - 0.18260 \dots

Solution steps

5^{1 - 2 x} = 9

Apply exponent rules

(1 - 2 x) ln (5) = ln (9)

Solve

(1 - 2 x) ln (5) = ln (9) : x = - \frac{2 ln ( 3 ) - ln ( 5 )}{2 ln ( 5 )}

x = - \frac{2 ln ( 3 ) - ln ( 5 )}{2 ln ( 5 )}

3^{x} = 500

4^{x} = 128

3^{x} = 23

2^{x + 3} + 4^{x + 1} = 320

4^{x^{2} - 11 x + 30} = 16

What is the answer to 5^{1-2x}=9 ?
The answer to 5^{1-2x}=9 is x=-(2ln(3)-ln(5))/(2ln(5))
Solve for x: 5^{1-2x}=9
The solution is x=-(2ln(3)-ln(5))/(2ln(5))