What is the answer to ln(x)-x=-ln(sqrt(0.8)) ?

The answer to ln(x)-x=-ln(sqrt(0.8)) is No Solution for x\in\mathbb{R}

Solve for x: ln(x)-x=-ln(sqrt(0.8))

The solution is No Solution for x\in\mathbb{R}

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ln (x) - x = - ln (0.8)

No Solution for x \in R

Solution steps

ln (x) - x = - ln (0.8)

Move

x

to the right side

ln (x) = - ln (0.8) + x

Apply log rules

ln (x) = - \frac{1}{2} ln (0.8) + x

f (x) = g (x),

then

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

e^{l n (x)} = e^{- \frac{1}{2} l n (0.8) + x}

Simplify

e^{l n (x)} : x

Simplify

e^{- \frac{1}{2} l n (0.8) + x} : \frac{1}{0.8} e^{x}

x = \frac{1}{0.8} e^{x}

Simplify

x = 1.11803 \dots e^{x}

Solve

x = 1.11803 \dots e^{x} :

No Solution for

x \in R

No Solution for x \in R

2 lo g_{x} (8) - lo g_{10} (x) 4 = 2

2 lo g_{10} (x) lo g_{10} (x + 6) = 0

x, 3 + 4 lo g_{x} (4) = 5

4 ln (x - 7) = - 8

x, ln (x - y) = - 0.5

What is the answer to ln(x)-x=-ln(sqrt(0.8)) ?
The answer to ln(x)-x=-ln(sqrt(0.8)) is No Solution for x\in\mathbb{R}
Solve for x: ln(x)-x=-ln(sqrt(0.8))
The solution is No Solution for x\in\mathbb{R}