What is the answer to 81^{5x-2}=243^{2x-6} ?

The answer to 81^{5x-2}=243^{2x-6} is x=-11/5

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81^{5x-2}=243^{2x-6}

8 1^{5 x - 2} = 24 3^{2 x - 6}

x = - \frac{11}{5}

Decimal Notation

x = - 2.2

Solution steps

8 1^{5 x - 2} = 24 3^{2 x - 6}

Apply exponent rules

4 (5 x - 2) = 5 (2 x - 6)

Solve

4 (5 x - 2) = 5 (2 x - 6) : x = - \frac{11}{5}

x = - \frac{11}{5}

0.75 = e^{- 0.002 x}

5^{x + 3} = 125

3 e^{3 x} - e^{x} = 0

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

What is the answer to 81^{5x-2}=243^{2x-6} ?
The answer to 81^{5x-2}=243^{2x-6} is x=-11/5
Solve for x: 81^{5x-2}=243^{2x-6}
The solution is x=-11/5