Answer:
The single logarithm is ㏒2[x³/(3/x+4)] ⇒ 1st answer
Step-by-step explanation:
* Lets revise some rules of the logarithmic functions
- log(a^n) = n log(a)
- log(a) + log(b) = log(ab)
- log(a) - log(b) = log(a/b)
* Lets solve the problem
∵ 3㏒2(x) - {㏒2(3) - ㏒2(x + 4)} ⇒ we want to make it single logarithm
# 3㏒2(x) = ㏒2(x³)
# ㏒2(3) - ㏒2(x + 4) = ㏒2[3/(x + 4)]
∴ 3㏒2(x) - {㏒2(3) - ㏒2(x + 4)} = ㏒2(x³) - ㏒2[3/(x + 4)]
∵ ㏒2(x³) - ㏒2[3/(x + 4)] = ㏒2[x³ ÷ 3/(x + 4)]
∴ 3㏒2(x) - {㏒2(3) - ㏒2(x + 4)} = ㏒2[x³/(3/x+4)]
* The single logarithm is ㏒2[x³/(3/x+4)]
Answer:
130cm
Step-by-step explanation:
the perimeter of the triangle is 15 the perimeter of the rectangle is 150 + 115 + 15 equals 103 ♥ hope it helped
F=27/4 equation is solved
Answer:
Step-by-step explanation:
<u>Set inequality as per question:</u>
<u>We know that:</u>
- V = πr²h
- h = 10 cm
- π = 3.14
<u>Substitute and solve for r:</u>
- 2000 ≤ 3.14*10r² ≤ 2500
- 2000 / 31.4 ≤ r² ≤ 2500 / 31.4
- 63.69 ≤ r² ≤ 79.62
- 64 ≤ r² < 81
- r² = 64 ⇒ r = 8 cm is the possible radius
