What is the answer to 3^x=4 ?

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

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

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3^x=4

3^{x} = 4

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

Decimal Notation

x = 1.26185 \dots

Solution steps

3^{x} = 4

Apply exponent rules

x ln (3) = ln (4)

Solve

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

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

e^{x} + 1 = 2

t, x = e^{t}

2^{x + 2} = 16

e^{2 x} = 4

4^{1 - x} = 3^{2 x + 3}