What is the answer to 3^{(2x-3)/(1-x)}=27^{3x-2} ?

The answer to 3^{(2x-3)/(1-x)}=27^{3x-2} is x=(13-61^{1/2})/(18),x=(13+61^{1/2})/(18)

Solve for x: 3^{(2x-3)/(1-x)}=27^{3x-2}

The solution is x=(13-61^{1/2})/(18),x=(13+61^{1/2})/(18)

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Popular >

3^{\frac{2 x - 3}{1 - x}} = 2 7^{3 x - 2}

x = \frac{13 - 6 1 ^{\frac{1}{2}}}{18}, x = \frac{13 + 6 1 ^{\frac{1}{2}}}{18}

Decimal Notation

x = 0.28831 \dots, x = 1.15612 \dots

Solution steps

3^{\frac{2 x - 3}{1 - x}} = 2 7^{3 x - 2}

Apply exponent rules

\frac{2 x - 3}{1 - x} = 3 (3 x - 2)

Solve

\frac{2 x - 3}{1 - x} = 3 (3 x - 2) : x = \frac{13 - 6 1 ^{\frac{1}{2}}}{18}, x = \frac{13 + 6 1 ^{\frac{1}{2}}}{18}

x = \frac{13 - 6 1 ^{\frac{1}{2}}}{18}, x = \frac{13 + 6 1 ^{\frac{1}{2}}}{18}

7^{5 x + 4} = 56

2 5^{x + 1} = 5^{x - 3}

2^{n} = 4^{p} \cdot 8^{n}

e^{x} + 2 = 8 e^{- x}

1 2^{x - 2} = 2^{2 x - 4}

What is the answer to 3^{(2x-3)/(1-x)}=27^{3x-2} ?
The answer to 3^{(2x-3)/(1-x)}=27^{3x-2} is x=(13-61^{1/2})/(18),x=(13+61^{1/2})/(18)
Solve for x: 3^{(2x-3)/(1-x)}=27^{3x-2}
The solution is x=(13-61^{1/2})/(18),x=(13+61^{1/2})/(18)