Very confused on have a test tomorrow
this is math 3

express as a single log:
1/5( 2ln5 + 3ln5) - 8ln2

ln(5/256)

Step-by-step explanation:

Step 1, do the stuff in parenthesis:

1/5 (2ln5 + 3ln5) - 8ln2 = 1/5 (5ln5) - 8ln2

Step 2, remove parenthesis and simplify:

1/5 (5ln5) - 8ln2 = ln5 - 8ln2

Step 3, use this formula-

8*ln2 = ln2^8 = ln256

-to get:

ln5 - 8ln2 = ln5 - ln256

Step 4, use another formula:

ln(A) - ln(B) = ln(A/B), so the answer is ln(5/256) TADA!

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -