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Popular >

ln(x)+x=3

Solution

ln (x) + x = 3

Solution

x = W_{0} (e^{3})

+1

Decimal Notation

x = 2.20794 \dots

Solution steps

ln (x) + x = 3

Move

x

to the right side

ln (x) = 3 - x

If

f (x) = g (x),

then

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

e^{l n (x)} = e^{3 - x}

Simplify

e^{l n (x)} : x

x = e^{3 - x}

Solve

x = e^{3 - x} : x = W_{0} (e^{3})

x = W_{0} (e^{3})

Verify Solutions:

x = W_{0} (e^{3})

True

The solution is

x = W_{0} (e^{3})

Popular Examples

log_{2}(a)=log_{10}(84)

lo g_{2} (a) = lo g_{10} (84)

ln (x - 6) = - 1

lo g_{10} (8 x) = 2

3log_{10}(x)-2log_{10}(5x)=2

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

log_{10}(x)=32768

lo g_{10} (x) = 32768

Frequently Asked Questions (FAQ)

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