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Popular >

x+ln(x)=e+1

Solution

x + ln (x) = e + 1

Solution

x = W_{0} (e^{e + 1})

+1

Decimal Notation

x = 2.71828 \dots

Solution steps

x + ln (x) = e + 1

Move

x

to the right side

ln (x) = e + 1 - x

If

f (x) = g (x),

then

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

e^{l n (x)} = e^{e + 1 - x}

Simplify

e^{l n (x)} : x

x = e^{e + 1 - x}

Solve

x = e^{e + 1 - x} : x = W_{0} (e^{e + 1})

x = W_{0} (e^{e + 1})

Verify Solutions:

x = W_{0} (e^{e + 1})

True

The solution is

x = W_{0} (e^{e + 1})

Popular Examples

5ln(5x-4)-15=15

5 ln (5 x - 4) - 15 = 15

log_{x}(16)+log_{x}(4)=3

lo g_{x} (16) + lo g_{x} (4) = 3

log_{2}(x)*ln(2)=1

lo g_{2} (x) \cdot ln (2) = 1

ln(t)=1.56+0.82*ln(56)

ln (t) = 1.56 + 0.82 \cdot ln (56)

11.3=-log_{10}(x)

11.3 = - lo g_{10} (x)

Frequently Asked Questions (FAQ)

What is the answer to x+ln(x)=e+1 ?
The answer to x+ln(x)=e+1 is x=\W_{0}(e^{e+1})