Solve the following equations.
ln(2x) = 3

x = 10.0427

Step-by-step explanation:

When we have a logarithm in one side we can express it as an exponential equation (logₐM = N ⇒M=bⁿ)

*Remember that In is a logarithm whose base is e*

So we have In (2x) = 3

We proceed using the definition

2x = e³

x= e³/2

x = 20.0855/2

x=  10.0427

answer:   (s+1)(s+4)

step-by-step explanation:

factor s2+5s+4

s2+5s+4

=(s+1)(s+4)

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.