What is the answer to 2^{2x}=500 ?

The answer to 2^{2x}=500 is x=(ln(500))/(2ln(2))

Solve for x: 2^{2x}=500

The solution is x=(ln(500))/(2ln(2))

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2^{2 x} = 500

x = \frac{ln ( 500 )}{2 ln ( 2 )}

Decimal Notation

x = 4.48289 \dots

Solution steps

2^{2 x} = 500

Apply exponent rules

2 x ln (2) = ln (500)

Solve

2 x ln (2) = ln (500) : x = \frac{ln ( 500 )}{2 ln ( 2 )}

x = \frac{ln ( 500 )}{2 ln ( 2 )}

x, 3^{4 x + 1} = 27

7^{- 2 x + 9} = 608

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

2^{x^{2} + x - 20} = 1

3 e^{3 x} (10 - 6 x) + e^{3 x} (- 6) = 0

What is the answer to 2^{2x}=500 ?
The answer to 2^{2x}=500 is x=(ln(500))/(2ln(2))
Solve for x: 2^{2x}=500
The solution is x=(ln(500))/(2ln(2))