What is the answer to 5^{2x+1}-3\times 5^{2x-1}=550 ?

The answer to 5^{2x+1}-3\times 5^{2x-1}=550 is x= 3/2

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5^{2x+1}-3\times 5^{2x-1}=550

5^{2 x + 1} - 3 \cdot 5^{2 x - 1} = 550

x = \frac{3}{2}

Decimal

x = 1.5

Solution steps

5^{2 x + 1} - 3 \cdot 5^{2 x - 1} = 550

Apply exponent rules

2 x = 3

Solve

2 x = 3 : x = \frac{3}{2}

x = \frac{3}{2}

62 5^{3 x} = 12 5^{x + 1}

3 x e^{x} - 8 e^{x} = 0

e^{2 x} + 2 e^{x} = + 24

3^{x^{2} + 6 x} = 9^{- 4}

6^{3 x - 2} = 4 \cdot 2^{x}

What is the answer to 5^{2x+1}-3\times 5^{2x-1}=550 ?
The answer to 5^{2x+1}-3\times 5^{2x-1}=550 is x= 3/2
Solve for x: 5^{2x+1}-3\times 5^{2x-1}=550
The solution is x= 3/2