What is the answer to (ln(x))/x =0.0975 ?

The answer to (ln(x))/x =0.0975 is x=-(\W_{-1}(-0.0975))/(0.0975),x=-(\W_{0}(-0.0975))/(0.0975)

Solve for x: (ln(x))/x =0.0975

The solution is x=-(\W_{-1}(-0.0975))/(0.0975),x=-(\W_{0}(-0.0975))/(0.0975)

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\frac{ln ( x )}{x} = 0.0975

x = - \frac{W _{- 1} ( - 0.0975 )}{0.0975}, x = - \frac{W _{0} ( - 0.0975 )}{0.0975}

Decimal Notation

x = 37.04848 \dots, x = 1.11482 \dots

Solution steps

\frac{ln ( x )}{x} = 0.0975

Multiply both sides by

x

ln (x) = 0.0975 x

f (x) = g (x),

then

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

e^{l n (x)} = e^{0.0975 x}

Simplify

e^{l n (x)} : x

x = e^{0.0975 x}

Solve

x = e^{0.0975 x} : x = - \frac{W _{- 1} ( - 0.0975 )}{0.0975}, x = - \frac{W _{0} ( - 0.0975 )}{0.0975}

x = - \frac{W _{- 1} ( - 0.0975 )}{0.0975}, x = - \frac{W _{0} ( - 0.0975 )}{0.0975}

Verify Solutions:

x = - \frac{W _{- 1} ( - 0.0975 )}{0.0975}

True

, x = - \frac{W _{0} ( - 0.0975 )}{0.0975}

True

The solutions are

x = - \frac{W _{- 1} ( - 0.0975 )}{0.0975}, x = - \frac{W _{0} ( - 0.0975 )}{0.0975}

lo g_{e} (x) + 4 = lo g_{e} (x + 6)

lo g_{2} (x) - lo g_{2} (16) = 3

n = ln^{2} (x)

lo g_{8} (X) = \frac{1}{3}

5 ln (6 x - 2) + 13 = 23

What is the answer to (ln(x))/x =0.0975 ?
The answer to (ln(x))/x =0.0975 is x=-(\W_{-1}(-0.0975))/(0.0975),x=-(\W_{0}(-0.0975))/(0.0975)
Solve for x: (ln(x))/x =0.0975
The solution is x=-(\W_{-1}(-0.0975))/(0.0975),x=-(\W_{0}(-0.0975))/(0.0975)