What is the answer to 2.77-1.61+0.5ln(x)-ln(100)=0 ?

The answer to 2.77-1.61+0.5ln(x)-ln(100)=0 is x=e^{(2(50ln(10)-29))/(25)}

Solve for x: 2.77-1.61+0.5ln(x)-ln(100)=0

The solution is x=e^{(2(50ln(10)-29))/(25)}

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2.77 - 1.61 + 0.5 ln (x) - ln (100) = 0

x = e^{\frac{2 ( 50 l n ( 10 ) - 29 )}{25}}

Solution steps

2.77 - 1.61 + 0.5 ln (x) - ln (100) = 0

Subtract the numbers:

2.77 - 1.61 = 1.16

0.5 ln (x) + 1.16 - ln (100) = 0

Multiply both sides by

100

50 ln (x) + 116 - 100 ln (100) = 0

Move

100 ln (100)

to the right side

50 ln (x) + 116 = 100 ln (100)

Move

116

to the right side

50 ln (x) = 100 ln (100) - 116

Divide both sides by

50

ln (x) = \frac{2 ( 25 ln ( 100 ) - 29 )}{25}

Apply log rules

x = e^{\frac{2 ( 50 l n ( 10 ) - 29 )}{25}}

Verify Solutions:

x = e^{\frac{2 ( 50 l n ( 10 ) - 29 )}{25}}

True

The solution is

x = e^{\frac{2 ( 50 l n ( 10 ) - 29 )}{25}}

ln (3 x) = 6.4

- 2 = lo g_{x} (\frac{1}{25})

lo g_{5} (4 x + 9) = 4

1 - ln^{2} (x) = 0

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

What is the answer to 2.77-1.61+0.5ln(x)-ln(100)=0 ?
The answer to 2.77-1.61+0.5ln(x)-ln(100)=0 is x=e^{(2(50ln(10)-29))/(25)}
Solve for x: 2.77-1.61+0.5ln(x)-ln(100)=0
The solution is x=e^{(2(50ln(10)-29))/(25)}