What is the answer to log_{x}(10)=x ?

The answer to log_{x}(10)=x is x=(ln(10))/(\W_{0)(ln(10))}

Solve for x: log_{x}(10)=x

The solution is x=(ln(10))/(\W_{0)(ln(10))}

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lo g_{x} (10) = x

x = \frac{ln ( 10 )}{W _{0} ( ln ( 10 ) )}

Decimal Notation

x = 2.50618 \dots

Solution steps

lo g_{x} (10) = x

f (x) = g (x),

then

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

x^{l o g_{x} (10)} = x^{x}

Simplify

x^{l o g_{x} (10)} : 10

10 = x^{x}

Solve

10 = x^{x} : x = \frac{ln ( 10 )}{W _{0} ( ln ( 10 ) )}

x = \frac{ln ( 10 )}{W _{0} ( ln ( 10 ) )}

Verify Solutions:

x = \frac{ln ( 10 )}{W _{0} ( ln ( 10 ) )}

True

The solution is

x = \frac{ln ( 10 )}{W _{0} ( ln ( 10 ) )}

ln (x - 2) + ln (x - 1) = 2 ln (2)

lo g_{2} (\frac{1}{x}) = 4

\frac{1}{8} x = lo g_{2} (x)

(2 x) (ln (x)) - x = 0

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

What is the answer to log_{x}(10)=x ?
The answer to log_{x}(10)=x is x=(ln(10))/(\W_{0)(ln(10))}
Solve for x: log_{x}(10)=x
The solution is x=(ln(10))/(\W_{0)(ln(10))}