What is the answer to 2^x= 4/3 ?

The answer to 2^x= 4/3 is x=(ln(4/3))/(ln(2))

Solve for x: 2^x= 4/3

The solution is x=(ln(4/3))/(ln(2))

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2^{x} = \frac{4}{3}

x = \frac{ln ( \frac{4}{3} )}{ln ( 2 )}

Decimal Notation

x = 0.41503 \dots

Solution steps

2^{x} = \frac{4}{3}

Apply exponent rules

x ln (2) = ln (\frac{4}{3})

Solve

x ln (2) = ln (\frac{4}{3}) : x = \frac{ln ( \frac{4}{3} )}{ln ( 2 )}

x = \frac{ln ( \frac{4}{3} )}{ln ( 2 )}

4 \cdot 3^{x} = 7 \cdot 5^{x}

125 = 5^{x}

(1 5^{4 x + 3}) (9^{3 x - 5}) = 5

(1 + 0.01)^{x} = 2

1200 = 500 e^{k}