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Popular >

ln(x)+x=5

Solution

ln (x) + x = 5

Solution

x = W_{0} (e^{5})

+1

Decimal Notation

x = 3.69344 \dots

Solution steps

ln (x) + x = 5

Move

x

to the right side

ln (x) = 5 - x

If

f (x) = g (x),

then

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

e^{l n (x)} = e^{5 - x}

Simplify

e^{l n (x)} : x

x = e^{5 - x}

Solve

x = e^{5 - x} : x = W_{0} (e^{5})

x = W_{0} (e^{5})

Verify Solutions:

x = W_{0} (e^{5})

True

The solution is

x = W_{0} (e^{5})

Popular Examples

3ln(x)-ln(x)-ln(9)=0

3 ln (x) - ln (x) - ln (9) = 0

ln(x-4)+ln(4x+1)=9

ln (x - 4) + ln (4 x + 1) = 9

2ln(x-3)+ln(x+8)=3ln(x)

2 ln (x - 3) + ln (x + 8) = 3 ln (x)

log_{2}(x-1)+log_{2}(x+2)=2

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

log_{2}(3x+1)=2

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

Frequently Asked Questions (FAQ)

What is the answer to ln(x)+x=5 ?
The answer to ln(x)+x=5 is x=\W_{0}(e^5)
Solve for x: ln(x)+x=5
The solution is x=\W_{0}(e^5)