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Popular >

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

Solution

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

Solution

x = e^{\frac{e}{e - 1} - 1}

+1

Decimal

x = 1.78957 \dots

Solution steps

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

Switch sides

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

Move

1

to the right side

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

Apply log rules

x = e^{\frac{e}{e - 1} - 1}

Verify Solutions:

x = e^{\frac{e}{e - 1} - 1}

True

The solution is

x = e^{\frac{e}{e - 1} - 1}

Graph

Popular Examples

solvefor x,z=ln(x-y)solve for

x, z = ln (x - y)

log_{b}(10000)=2

lo g_{b} (10000) = 2

ln(2)+ln(x-7)=8

ln (2) + ln (x - 7) = 8

34=-13.5+14.16\times ln(x)

34 = - 13.5 + 14.16 \times ln (x)

log_{x+1}(5x-1)=2

lo g_{x + 1} (5 x - 1) = 2

Frequently Asked Questions (FAQ)

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