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Popular >

xe^{ln(x)}-6=6-x

Solution

x e^{l n (x)} - 6 = 6 - x

Solution

x = 3

Solution steps

x e^{l n (x)} - 6 = 6 - x

Move

6

to the right side

x e^{l n (x)} = - x + 12

Divide both sides by

x

e^{l n (x)} = \frac{- x + 12}{x}

Apply log rules

x = \frac{- x + 12}{x}

Solve

x = \frac{- x + 12}{x} : x = 3, x = - 4

x = 3, x = - 4

Verify Solutions:

x = 3

True

, x = - 4

False

The solution is

x = 3

Popular Examples

log_{x}(2)+log_{2}(x)=2.5

lo g_{x} (2) + lo g_{2} (x) = 2.5

lo g_{x} (8) = 0.5

log_{x}(49)=log_{7}(343)-1

lo g_{x} (49) = lo g_{7} (343) - 1

9=10log_{10}(x)

9 = 10 lo g_{10} (x)

log_{3}(x-1)-log_{3}(x+2)=2

lo g_{3} (x - 1) - lo g_{3} (x + 2) = 2

Frequently Asked Questions (FAQ)

What is the answer to xe^{ln(x)}-6=6-x ?
The answer to xe^{ln(x)}-6=6-x is x=3