What is the answer to x/(ln(sqrt(x+9)))=1 ?

The answer to x/(ln(sqrt(x+9)))=1 is x=-(\W_{0}(-2/(e^{18)})+18)/2

Solve for x: x/(ln(sqrt(x+9)))=1

The solution is x=-(\W_{0}(-2/(e^{18)})+18)/2

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\frac{x}{ln ( x + 9 )} = 1

x = - \frac{W _{0} ( - \frac{2}{e ^{18}} ) + 18}{2}

Decimal Notation

x = - 8.99999 \dots

Solution steps

\frac{x}{ln ( x + 9 )} = 1

Multiply both sides by

ln (x + 9)

x = ln (x + 9)

Switch sides

ln (x + 9) = x

f (x) = g (x),

then

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

e^{l n (x + 9)} = e^{x}

Simplify

e^{l n (x + 9)} : x + 9

x + 9 = e^{x}

Solve

x + 9 = e^{x} : x = - \frac{W _{0} ( - \frac{2}{e ^{18}} ) + 18}{2}

x = - \frac{W _{0} ( - \frac{2}{e ^{18}} ) + 18}{2}

Verify Solutions:

x = - \frac{W _{0} ( - \frac{2}{e ^{18}} ) + 18}{2}

True

The solution is

x = - \frac{W _{0} ( - \frac{2}{e ^{18}} ) + 18}{2}

\frac{ln ( x )}{x} + (4 x)^{- 1} = 0.2

ln (2 x - 5) - ln (x) = \frac{1}{4}

29.95 = - 42.4 ln (a) + 0.52

ln (x + 2) - ln (6 - x) = ln (x - 1)

lo g_{2} (x^{9}) = - 9

What is the answer to x/(ln(sqrt(x+9)))=1 ?
The answer to x/(ln(sqrt(x+9)))=1 is x=-(\W_{0}(-2/(e^{18)})+18)/2
Solve for x: x/(ln(sqrt(x+9)))=1
The solution is x=-(\W_{0}(-2/(e^{18)})+18)/2