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

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

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

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

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5^{- 2 x} = 3

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

Decimal Notation

x = - 0.34130 \dots

Solution steps

5^{- 2 x} = 3

Apply exponent rules

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

Solve

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

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

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

8 = 60 t - 1800 + \frac{1800}{e ^{\frac{t}{30}}}

2^{x - 4} = 8

6^{x} - 9 \times 6^{- x} + 8 = 0

e^{2 x} = 12

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