What is the answer to 36=4ln(sqrt(x-1)) ?

The answer to 36=4ln(sqrt(x-1)) is x=e^{18}+1

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36=4ln(sqrt(x-1))

36 = 4 ln (x - 1)

x = e^{18} + 1

Decimal Notation

x = 65659970.13733 \dots

Solution steps

36 = 4 ln (x - 1)

Switch sides

4 ln (x - 1) = 36

Divide both sides by

4

ln (x - 1) = 9

Apply log rules

x - 1 = e^{9}

Solve

x - 1 = e^{9} : x = e^{18} + 1

x = e^{18} + 1

Verify Solutions:

x = e^{18} + 1

True

The solution is

x = e^{18} + 1

lo g_{10} (a) = 1.83

ln (\frac{( t - 20 )}{200}) = - 0.11 t

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

5 = 1 + 3.32 lo g_{10} (x)

ln (x) = - 2.81 \cdot 600 + 1.7

What is the answer to 36=4ln(sqrt(x-1)) ?
The answer to 36=4ln(sqrt(x-1)) is x=e^{18}+1
Solve for x: 36=4ln(sqrt(x-1))
The solution is x=e^{18}+1