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:
72
72
96
120
Step-by-step explanation:
The arcs are in the ratio:
3 : 3 : 4 : 5
Add all numbers in the ratio:
3 + 3 + 4 + 5 = 15
In the ratio, the sum of all numbers is 15.
In the real circle, the sum of the measures of all the arcs is 360.
360/15 = 24
Multiply all numbers in the ratio by 24.
72 : 72 : 96 : 120
Answer:
72
72
96
120
Answer:
the GDP per capita for unatid stairs is60
See attached for the work