What is the answer to 2^x= 2/3 ?

The answer to 2^x= 2/3 is x=(ln(2/3))/(ln(2))

Solve for x: 2^x= 2/3

The solution is x=(ln(2/3))/(ln(2))

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2^{x} = \frac{2}{3}

x = \frac{ln ( \frac{2}{3} )}{ln ( 2 )}

Decimal Notation

x = - 0.58496 \dots

Solution steps

2^{x} = \frac{2}{3}

Apply exponent rules

x ln (2) = ln (\frac{2}{3})

Solve

x ln (2) = ln (\frac{2}{3}) : x = \frac{ln ( \frac{2}{3} )}{ln ( 2 )}

x = \frac{ln ( \frac{2}{3} )}{ln ( 2 )}

8^{9 x + 1} = 2^{x^{2} + 29 x}

x, y = {e^{- 2 x}}

p, \frac{2 ^{x - 2} \cdot 1}{2} = p (x)^{x - 3}

3 = 0.5 \cdot 1.0 5^{x}

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