What is the answer to x+5ln(x-1)=3.46 ?

The answer to x+5ln(x-1)=3.46 is x=5\W_{0}((e^{(2.46)/5})/(5))+1

Solve for x: x+5ln(x-1)=3.46

The solution is x=5\W_{0}((e^{(2.46)/5})/(5))+1

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x + 5 ln (x - 1) = 3.46

x = 5 W_{0} (\frac{e ^{\frac{2.46}{5}}}{5}) + 1

Decimal Notation

x = 2.26897 \dots

Solution steps

x + 5 ln (x - 1) = 3.46

Move

x

to the right side

5 ln (x - 1) = 3.46 - x

Divide both sides by

5

ln (x - 1) = \frac{3.46 - x}{5}

f (x) = g (x),

then

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

e^{l n (x - 1)} = e^{\frac{3.46 - x}{5}}

Simplify

e^{l n (x - 1)} : x - 1

x - 1 = e^{\frac{3.46 - x}{5}}

Solve

x - 1 = e^{\frac{3.46 - x}{5}} : x = 5 W_{0} (\frac{e ^{\frac{2.46}{5}}}{5}) + 1

x = 5 W_{0} (\frac{e ^{\frac{2.46}{5}}}{5}) + 1

Verify Solutions:

x = 5 W_{0} (\frac{e ^{\frac{2.46}{5}}}{5}) + 1

True

The solution is

x = 5 W_{0} (\frac{e ^{\frac{2.46}{5}}}{5}) + 1

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

a, h = k + lo g_{10} (a c)

ln (x) = 19.21

9.6 = - lo g_{10} (x)

ln (x) = - 1.59

What is the answer to x+5ln(x-1)=3.46 ?
The answer to x+5ln(x-1)=3.46 is x=5\W_{0}((e^{(2.46)/5})/(5))+1
Solve for x: x+5ln(x-1)=3.46
The solution is x=5\W_{0}((e^{(2.46)/5})/(5))+1