What is the answer to 5^{-x}=15 ?

The answer to 5^{-x}=15 is x=-(ln(15))/(ln(5))

Solve for x: 5^{-x}=15

The solution is x=-(ln(15))/(ln(5))

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5^{- x} = 15

x = - \frac{ln ( 15 )}{ln ( 5 )}

Decimal

x = - 1.68260 \dots

Solution steps

5^{- x} = 15

Apply exponent rules

- x ln (5) = ln (15)

Solve

- x ln (5) = ln (15) : x = - \frac{ln ( 15 )}{ln ( 5 )}

x = - \frac{ln ( 15 )}{ln ( 5 )}

2 \times 3^{1 - x} + 3^{x - 1} = 3^{x}

9 x - 2 - 1 0^{x - 1} = 0

5^{4 x - 2} = 120

7^{x} + 7^{x + 3} = 2408

5^{2 x - 4} = 3

What is the answer to 5^{-x}=15 ?
The answer to 5^{-x}=15 is x=-(ln(15))/(ln(5))
Solve for x: 5^{-x}=15
The solution is x=-(ln(15))/(ln(5))