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

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

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5+2ln(x)=4

5 + 2 ln (x) = 4

x = \frac{1}{e}

Decimal Notation

x = 0.60653 \dots

Solution steps

5 + 2 ln (x) = 4

Move

5

to the right side

2 ln (x) = - 1

Divide both sides by

2

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

Apply log rules

x = \frac{1}{e}

Verify Solutions:

x = \frac{1}{e}

True

The solution is

x = \frac{1}{e}

lo g_{x} (\frac{1}{9}) = - 2

lo g_{3} (x) - 4 lo g_{x} (3) + 3 = 0

2 lo g_{10} (x - 1) = lo g_{10} (2 x)

lo g_{x} (625) = 4

ln (6) + ln (x) - ln (2) = 3