What is the answer to 5^{2x+1}-5^{2x}=500 ?

The answer to 5^{2x+1}-5^{2x}=500 is x= 3/2

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5^{2x+1}-5^{2x}=500

5^{2 x + 1} - 5^{2 x} = 500

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

5^{2 x + 1} - 5^{2 x} = 500

Apply exponent rules

2 x = 3

Solve

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

x = \frac{3}{2}

0. 6^{x - 3} = 3. 2^{x + 4}

3 x = e^{- x}

5^{x - 2} \cdot 2^{2 x - 3} = 135

3^{\frac{3}{( l o g _{3} ( x ) )}} = 27

4^{x + 2} = 2^{2 x + 3} + 2

What is the answer to 5^{2x+1}-5^{2x}=500 ?
The answer to 5^{2x+1}-5^{2x}=500 is x= 3/2
Solve for x: 5^{2x+1}-5^{2x}=500
The solution is x= 3/2