What is the answer to log_{10}(x)= 1/x ?

The answer to log_{10}(x)= 1/x is x=(ln(10))/(\W_{0)(ln(10))}

Solve for x: log_{10}(x)= 1/x

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

Popular >

lo g_{10} (x) = \frac{1}{x}

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

Decimal Notation

x = 2.50618 \dots

Solution steps

lo g_{10} (x) = \frac{1}{x}

f (x) = g (x),

then

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

1 0^{l o g_{10} (x)} = 1 0^{\frac{1}{x}}

Simplify

1 0^{l o g_{10} (x)} : x

x = 1 0^{\frac{1}{x}}

Solve

x = 1 0^{\frac{1}{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 ) )}

lo g_{2} (x) - 2 lo g_{x} (3) = 0

ln (5 x - 6) = 3

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

lo g_{2} (x + 7) = lo g_{2} (x + 4) + 2

lo g_{2} (x + 1) + lo g_{2} (x + 7) = 3

What is the answer to log_{10}(x)= 1/x ?
The answer to log_{10}(x)= 1/x is x=(ln(10))/(\W_{0)(ln(10))}
Solve for x: log_{10}(x)= 1/x
The solution is x=(ln(10))/(\W_{0)(ln(10))}