Since no base is stated, assume base 10
remember
loga-logb=log(a/b)
also
translates to
and log(a^z)=zlog(a)
log25x-log5=2 means
translates to
simplies to
translates to
expands to
100=5x
divide both sides by 5
20=x
1. (2,3), 2+4=6 3+5=8 (6,8)
2.(9,7), 9-8=1 7-2=5 (1,2)
Answer:
25.5 degrees
Step-by-step explanation:
Let the first angle be x degrees, and second angle be y degrees.
<u>Condition # 1:</u>
x = 5y - 13 --------------------(1)
<u>Condition # 2:</u>
x + y = 140 -------------------(2)
Put Eq. (1) in (2)
5y - 13 + y = 140
5y + y - 13 = 140
6y - 13 = 140
Add 13 to both sides
6y = 140 + 13
6y = 153
Divide both sides by 6
y = 25.5 degrees
Now, put the value of y in Eq. (1)
x = 5(25.5) - 13
x = 127.5 - 13
x = 114.5 degrees
<u>So, the measure of smaller angle is:</u>
= 25.5 degrees
Hope this helped!
<h3>~AH1807</h3>