What is the answer to 4+5ln(x)=2 ?

The answer to 4+5ln(x)=2 is x= 1/(e^{2/5)}

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4+5ln(x)=2

4 + 5 ln (x) = 2

x = \frac{1}{e ^{\frac{2}{5}}}

Solution steps

4 + 5 ln (x) = 2

Move

4

to the right side

5 ln (x) = - 2

Divide both sides by

5

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

Apply log rules

x = \frac{1}{e ^{\frac{2}{5}}}

Verify Solutions:

x = \frac{1}{e ^{\frac{2}{5}}}

True

The solution is

x = \frac{1}{e ^{\frac{2}{5}}}

ln (x^{2} - 1) = ln (4 x - 4)

lo g_{4} (2 x) = - \frac{1}{2}

ln (4 x) = 12

ln (2 x - 5) = 3

ln (x + 1) - ln (x - 5) = ln (3)