What is the answer to 4=3^x ?

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

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

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4=3^x

4 = 3^{x}

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

Decimal Notation

x = 1.26185 \dots

Solution steps

4 = 3^{x}

Apply exponent rules

ln (4) = x ln (3)

Solve

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

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

3^{x + 4} = 3^{2 x - 5}

3^{x + 1} - 3^{x - 1} = 72

2^{4^{2 x - 1}} = 4^{2^{x - 1}}

2^{x} + 2^{- x} = 2

5 e^{3 x - 4} = 25