What is the answer to 8= 9/t ln(2/t) ?

The answer to 8= 9/t ln(2/t) is t=(9\W_{0}(16/9))/8

Solve for t: 8= 9/t ln(2/t)

The solution is t=(9\W_{0}(16/9))/8

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8 = \frac{9}{t} ln (\frac{2}{t})

t = \frac{9 W _{0} ( \frac{16}{9} )}{8}

Decimal Notation

t = 0.89925 \dots

Solution steps

8 = \frac{9}{t} ln (\frac{2}{t})

Switch sides

\frac{9}{t} ln (\frac{2}{t}) = 8

Multiply both sides by

t

9 ln (\frac{2}{t}) = 8 t

Divide both sides by

9

ln (\frac{2}{t}) = \frac{8 t}{9}

f (x) = g (x),

then

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

e^{l n (\frac{2}{t})} = e^{\frac{8 t}{9}}

Simplify

e^{l n (\frac{2}{t})} : \frac{2}{t}

\frac{2}{t} = e^{\frac{8 t}{9}}

Multiply both sides by

t

\frac{2}{t} t = e^{\frac{8 t}{9}} t

Simplify

2 = e^{\frac{8 t}{9}} t

Solve

2 = e^{\frac{8 t}{9}} t : t = \frac{9 W _{0} ( \frac{16}{9} )}{8}

t = \frac{9 W _{0} ( \frac{16}{9} )}{8}

Verify Solutions:

t = \frac{9 W _{0} ( \frac{16}{9} )}{8}

True

The solution is

t = \frac{9 W _{0} ( \frac{16}{9} )}{8}

lo g_{2} (x^{2} - 6 x) - 6 = - 2

ln (5) = x + ln (x - 5) + 10

0.44 = lo g_{2} (x)

ln (x^{4}) = 12

x, ln (x) = 10

What is the answer to 8= 9/t ln(2/t) ?
The answer to 8= 9/t ln(2/t) is t=(9\W_{0}(16/9))/8
Solve for t: 8= 9/t ln(2/t)
The solution is t=(9\W_{0}(16/9))/8