What is the answer to 2(ln(x)+1)+2x+3=7 ?

The answer to 2(ln(x)+1)+2x+3=7 is x=1

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2(ln(x)+1)+2x+3=7

2 (ln (x) + 1) + 2 x + 3 = 7

x = 1

Solution steps

2 (ln (x) + 1) + 2 x + 3 = 7

Move

2 x

to the right side

2 (ln (x) + 1) + 3 = 7 - 2 x

Move

3

to the right side

2 (ln (x) + 1) = - 2 x + 4

Divide both sides by

2

ln (x) + 1 = - x + 2

Move

1

to the right side

ln (x) = - x + 1

f (x) = g (x),

then

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

e^{l n (x)} = e^{- x + 1}

Simplify

e^{l n (x)} : x

x = e^{- x + 1}

Solve

x = e^{- x + 1} : x = 1

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

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

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

lo g_{10} (3 x) = 0

lo g_{2} (x + 3) + 3 = lo g_{2} (9 x + 4)

lo g_{10} (x^{81}) = 4

What is the answer to 2(ln(x)+1)+2x+3=7 ?
The answer to 2(ln(x)+1)+2x+3=7 is x=1
Solve for x: 2(ln(x)+1)+2x+3=7
The solution is x=1