Answer:
e^ (5 ln (x + 1)) = (x + 1)^5
Step-by-step explanation:
e5 In (x + 1) or did you mean e^ (5 ln (x + 1))
because then this would simplify a lot
e^ (5 ln (x + 1)) = e ^ (ln (x + 1)^5)
e^ (5 ln (x + 1)) = e ^ (ln (x + 1)^5) = (x + 1)^5
or did you mean (e^5) ( ln (x + 1)) = ln [(x+1)^(e^5)]
But I think you meant:
e^ (5 ln (x + 1)) = e ^ (ln (x + 1)^5) = (x + 1)^5
Answer: 10 , 13 , 14 , 15
Step-by-step explanation:
To find the perimeter of a quadrilateral , we will add all its side , that is
Perimeter = x + x + 3 + x + 4 + x + 5
That is
52 = x + x + 3 + x + 4 + x + 5
52 = 4x + 12
subtract 12 from both sides
40 = 4x
divide through by 4
x = 10
therefore , the lengths of the sides are
10 , 10+3 , 10 + 4 , 10 + 5 , that is
10 , 13 , 14 , 15
Answer:
Ф = 
Step-by-step explanation:
It is a bit difficult to input the work here, so I uploaded an image
- First we can use the trig identities to change sec²(Ф) to tan²(Ф) + 1
- Then we can combine like terms
- Then we can factor this as a polynomial function
- Then we can set each term equal to zero and solve for Ф
- The first term tan(Ф) - 2 = 0 has no solution because tan(Ф) ≠ -2 anywhere
- The second term tan(Ф) - 1 = 0 has two solutions of
and
so these are the solutions to the problem