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Popular >

3-ln(x)= x/e+1

Solution

3 - ln (x) = \frac{x}{e} + 1

Solution

x = e

+1

Decimal Notation

x = 2.71828 \dots

Solution steps

3 - ln (x) = \frac{x}{e} + 1

Move

3

to the right side

- ln (x) = \frac{x}{e} - 2

Multiply both sides by

e

- ln (x) e = \frac{x}{e} e - 2 e

Simplify

- ln (x) e = x - 2 e

Divide both sides by

- e

ln (x) = - \frac{x - 2 e}{e}

If

f (x) = g (x),

then

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

e^{l n (x)} = e^{- \frac{x - 2 e}{e}}

Simplify

e^{l n (x)} : x

x = e^{- \frac{x - 2 e}{e}}

Solve

x = e^{- \frac{x - 2 e}{e}} : x = e

x = e

Verify Solutions:

x = e

True

The solution is

x = e

Popular Examples

log_{10}(x)=2.6

lo g_{10} (x) = 2.6

1=10log_{10}(x/1)

1 = 10 lo g_{10} (\frac{x}{1})

log_{4}((2-3x)^2)=1

lo g_{4} ((2 - 3 x)^{2}) = 1

log_{10}(p-1)=n

lo g_{10} (p - 1) = n

ln(x+6)+ln(x-4)=2ln(x)

ln (x + 6) + ln (x - 4) = 2 ln (x)

Frequently Asked Questions (FAQ)

What is the answer to 3-ln(x)= x/e+1 ?
The answer to 3-ln(x)= x/e+1 is x=e