What is the answer to x+ln(x)=10 ?

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

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x+ln(x)=10

x + ln (x) = 10

x = W_{0} (e^{10})

Decimal Notation

x = 7.92942 \dots

Solution steps

x + ln (x) = 10

Move

x

to the right side

ln (x) = 10 - x

f (x) = g (x),

then

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

e^{l n (x)} = e^{10 - x}

Simplify

e^{l n (x)} : x

x = e^{10 - x}

Solve

x = e^{10 - x} : x = W_{0} (e^{10})

x = W_{0} (e^{10})

Verify Solutions:

x = W_{0} (e^{10})

True

The solution is

x = W_{0} (e^{10})

lo g_{5} (125 x) = \frac{5}{3}

ln (3 x - 4) - ln (x - 3) = ln (2 x)

ln (\frac{t - 63}{125}) = - 0.07 t

9^{l o g_{3} (x)} x^{3} = 243

ln (T) = 1.56 + 0.82 \cdot ln (22)