What is the answer to 2^x=61 ?

The answer to 2^x=61 is x=(ln(61))/(ln(2))

The solution is x=(ln(61))/(ln(2))

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2^x=61

2^{x} = 61

x = \frac{ln ( 61 )}{ln ( 2 )}

Decimal

x = 5.93073 \dots

Solution steps

2^{x} = 61

Apply exponent rules

x ln (2) = ln (61)

Solve

x ln (2) = ln (61) : x = \frac{ln ( 61 )}{ln ( 2 )}

x = \frac{ln ( 61 )}{ln ( 2 )}

e^{(x^{2} + 4 x - 2)} = 16

4^{- 4 x} = 25

5^{8} \cdot 5^{4} = (125)^{x}

2^{4 x - 1} = 1

y, x = 1 + y + e^{y}