What is the answer to x+log_{10}(x)=0 ?

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

Solve for x: x+log_{10}(x)=0

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

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x + lo g_{10} (x) = 0

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

Decimal Notation

x = 0.39901 \dots

Solution steps

x + lo g_{10} (x) = 0

Move

x

to the right side

lo g_{10} (x) = - x

f (x) = g (x),

then

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

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

Simplify

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

x = 1 0^{- x}

Solve

x = 1 0^{- x} : x = \frac{W _{0} ( ln ( 10 ) )}{ln ( 10 )}

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

Verify Solutions:

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

True

The solution is

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

lo g_{3} (4 x) - lo g_{3} (x - 1) = - 3

2 lo g_{10} (x) - lo g_{10} (4 x) = - 2

lo g_{10} (2 x + 4) = 2

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

x, - ln (y) = ln (x) + c

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