What is the answer to 9^{-3x+2}=48 ?

The answer to 9^{-3x+2}=48 is x=(ln(27/16))/(6ln(3))

Solve for x: 9^{-3x+2}=48

The solution is x=(ln(27/16))/(6ln(3))

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9^{- 3 x + 2} = 48

x = \frac{ln ( \frac{27}{16} )}{6 ln ( 3 )}

Decimal Notation

x = 0.07938 \dots

Solution steps

9^{- 3 x + 2} = 48

Apply exponent rules

(- 3 x + 2) ln (9) = ln (48)

Solve

(- 3 x + 2) ln (9) = ln (48) : x = \frac{ln ( \frac{27}{16} )}{6 ln ( 3 )}

x = \frac{ln ( \frac{27}{16} )}{6 ln ( 3 )}

3 \times 2^{x + 3} = 192

x, 2^{x} = 22

e^{x + 1} = π^{2 - x}

3^{3 x} = 94

What is the answer to 9^{-3x+2}=48 ?
The answer to 9^{-3x+2}=48 is x=(ln(27/16))/(6ln(3))
Solve for x: 9^{-3x+2}=48
The solution is x=(ln(27/16))/(6ln(3))