What is the answer to 15^{-9x}=5 ?

The answer to 15^{-9x}=5 is x=-(ln(5))/(9ln(15))

Solve for x: 15^{-9x}=5

The solution is x=-(ln(5))/(9ln(15))

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1 5^{- 9 x} = 5

x = - \frac{ln ( 5 )}{9 ln ( 15 )}

Decimal Notation

x = - 0.06603 \dots

Solution steps

1 5^{- 9 x} = 5

Apply exponent rules

- 9 x ln (15) = ln (5)

Solve

- 9 x ln (15) = ln (5) : x = - \frac{ln ( 5 )}{9 ln ( 15 )}

x = - \frac{ln ( 5 )}{9 ln ( 15 )}

4^{3 x - 4} = 1024

n, 9 + 3^{n + 2} = m

5^{x - 2} = 2

5^{x - 2} = 9

4000 = 2^{x}

What is the answer to 15^{-9x}=5 ?
The answer to 15^{-9x}=5 is x=-(ln(5))/(9ln(15))
Solve for x: 15^{-9x}=5
The solution is x=-(ln(5))/(9ln(15))