What is the answer to 2^x=2500 ?

The answer to 2^x=2500 is x=(2ln(50))/(ln(2))

Solve for x: 2^x=2500

The solution is x=(2ln(50))/(ln(2))

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2^{x} = 2500

x = \frac{2 ln ( 50 )}{ln ( 2 )}

Decimal Notation

x = 11.28771 \dots

Solution steps

2^{x} = 2500

Apply exponent rules

x ln (2) = ln (2500)

Solve

x ln (2) = ln (2500) : x = \frac{2 ln ( 50 )}{ln ( 2 )}

x = \frac{2 ln ( 50 )}{ln ( 2 )}

(x - 1)^{x^{2} - 2} = (x - 1)^{2 x + 1}

6 4^{a} = 8^{a + 2}

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

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

2 e^{x + 1} = 18