What is the answer to log_{x}(3)=x ?

The answer to log_{x}(3)=x is x=(ln(3))/(\W_{0)(ln(3))}

Solve for x: log_{x}(3)=x

The solution is x=(ln(3))/(\W_{0)(ln(3))}

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lo g_{x} (3) = x

x = \frac{ln ( 3 )}{W _{0} ( ln ( 3 ) )}

Decimal Notation

x = 1.82545 \dots

Solution steps

lo g_{x} (3) = x

f (x) = g (x),

then

a^{f (x)} = a^{g (x)}

x^{l o g_{x} (3)} = x^{x}

Simplify

x^{l o g_{x} (3)} : 3

3 = x^{x}

Solve

3 = x^{x} : x = \frac{ln ( 3 )}{W _{0} ( ln ( 3 ) )}

x = \frac{ln ( 3 )}{W _{0} ( ln ( 3 ) )}

Verify Solutions:

x = \frac{ln ( 3 )}{W _{0} ( ln ( 3 ) )}

True

The solution is

x = \frac{ln ( 3 )}{W _{0} ( ln ( 3 ) )}

4 lo g_{3} (5 p - 3) - 2 = 10

- lo g_{10} (x) = 0.7

- lo g_{10} (x) = 0.8

lo g_{2} (x) = x - 3

lo g_{256} (x) = \frac{1}{4}

What is the answer to log_{x}(3)=x ?
The answer to log_{x}(3)=x is x=(ln(3))/(\W_{0)(ln(3))}
Solve for x: log_{x}(3)=x
The solution is x=(ln(3))/(\W_{0)(ln(3))}