What is the answer to 2^x=200 ?

The answer to 2^x=200 is x=(ln(200))/(ln(2))

The solution is x=(ln(200))/(ln(2))

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2^x=200

2^{x} = 200

x = \frac{ln ( 200 )}{ln ( 2 )}

Decimal Notation

x = 7.64385 \dots

Solution steps

2^{x} = 200

Apply exponent rules

x ln (2) = ln (200)

Solve

x ln (2) = ln (200) : x = \frac{ln ( 200 )}{ln ( 2 )}

x = \frac{ln ( 200 )}{ln ( 2 )}

1 0^{3 x + 7} + 8 = 37

5^{(- x)} + 7 = 2 x + 4

8^{- 5 a} - 5 = 53

y, x = y e^{y}

m = - 3 (5)^{n + 4} - \frac{1}{2}