What is the answer to 2^x=900 ?

The answer to 2^x=900 is x=(2ln(30))/(ln(2))

The solution is x=(2ln(30))/(ln(2))

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2^x=900

2^{x} = 900

x = \frac{2 ln ( 30 )}{ln ( 2 )}

Decimal Notation

x = 9.81378 \dots

Solution steps

2^{x} = 900

Apply exponent rules

x ln (2) = ln (900)

Solve

x ln (2) = ln (900) : x = \frac{2 ln ( 30 )}{ln ( 2 )}

x = \frac{2 ln ( 30 )}{ln ( 2 )}

e^{2 x} - 2 e^{x} - 35 = 0

2^{2 - x} = \frac{1}{8}

2 \cdot 3^{x - 2} = 54

3^{x} = 0.5

(\frac{8}{27})^{2 - 3 x} = 1