What is the answer to 4^{-9y}=7 ?

The answer to 4^{-9y}=7 is y=-(ln(7))/(18ln(2))

Solve for y: 4^{-9y}=7

The solution is y=-(ln(7))/(18ln(2))

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4^{- 9 y} = 7

y = - \frac{ln ( 7 )}{18 ln ( 2 )}

Decimal Notation

y = - 0.15596 \dots

Solution steps

4^{- 9 y} = 7

Apply exponent rules

- 9 y ln (4) = ln (7)

Solve

- 9 y ln (4) = ln (7) : y = - \frac{ln ( 7 )}{18 ln ( 2 )}

y = - \frac{ln ( 7 )}{18 ln ( 2 )}

9^{x + 2} + 18 \cdot 3^{x - 1} = 11

e^{x} = 7 e^{- 2 x}

2 (8^{n}) = 4^{1007}

3^{3 x - 8} = \frac{1}{9}

9 \cdot 3^{x} = 3^{5 x + 4}

What is the answer to 4^{-9y}=7 ?
The answer to 4^{-9y}=7 is y=-(ln(7))/(18ln(2))
Solve for y: 4^{-9y}=7
The solution is y=-(ln(7))/(18ln(2))