Answer:
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!
Answer:
8.5b - 3.4(13a - 3.2b) + a = 19.4b - 43.2a
Step-by-step explanation:
It is a simple mathematical problem with multiple like terms. We can solve it by applying basic mathematical rules of multiplication and addition/subtration.
8.5b - 3.4(13a - 3.2b) + a
= 8.5b - 3.4*13a -3.4*(-3.2b) + a
= 8.5b - 3.4*13a + 3.4*3.2b + a
= 8.5b - 44.2a + 10.88 b + a
Now, only like terms can be added to each other
= (8.5b + 10.9b) + (a - 44.2a)
= 19.4b + (-43.2a)
= 19.4b - 43.2a
