What is the answer to 26=(40)/(ln(x+1)) ?

The answer to 26=(40)/(ln(x+1)) is x=e^{20/13}-1

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26=(40)/(ln(x+1))

26 = \frac{40}{ln ( x + 1 )}

x = e^{\frac{20}{13}} - 1

Decimal Notation

x = 3.65741 \dots

Solution steps

26 = \frac{40}{ln ( x + 1 )}

Rewrite the equation with

ln (x + 1) = u

26 = \frac{40}{u}

Solve

26 = \frac{40}{u} : u = \frac{20}{13}

u = \frac{20}{13}

Substitute back

u = ln (x + 1),

solve for

x

Solve

ln (x + 1) = \frac{20}{13} : x = e^{\frac{20}{13}} - 1

x = e^{\frac{20}{13}} - 1

Verify Solutions:

x = e^{\frac{20}{13}} - 1

True

The solution is

x = e^{\frac{20}{13}} - 1

4 = lo g_{e} (x)

lo g_{10} (x + 2) = 2

lo g_{10} (x) 25 = 2

2 ln (2 x + 4) + 10 = 4

lo g_{4} (5 - \frac{x}{30}) = 3

What is the answer to 26=(40)/(ln(x+1)) ?
The answer to 26=(40)/(ln(x+1)) is x=e^{20/13}-1
Solve for x: 26=(40)/(ln(x+1))
The solution is x=e^{20/13}-1