What is the answer to 5^{1-2x}=3 ?

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

Solve for x: 5^{1-2x}=3

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

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5^{1 - 2 x} = 3

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

Decimal Notation

x = 0.15869 \dots

Solution steps

5^{1 - 2 x} = 3

Apply exponent rules

(1 - 2 x) ln (5) = ln (3)

Solve

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

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

3^{2 x} + 3^{x + 1} - 10 = 0

4 9^{1 - 2 x} = 7^{x}

3^{x} = 4 - x

4^{x} - 2^{x - 1} - 14 = 0

3^{5 x + 12} = 81

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