Answer:
See explanation.
(Before continuing reading, I took the base to be 3. Please tell me if you didn't want the base to be 3.)
Step-by-step explanation:
I assume 3 is suppose to be the base. Let's list some values that can be written as 3 to some integer.
3^0=1
3^1=3
3^2=9
3^3=27
3^4=81
3^5=243
......
I could have also did negative integer powers, but this is all I really need to convince you that log_3(28) is between 3 and 4.
log_3(28) means the value x such that 3^x=28.
Since 28 is between 27 and 81 in my list above, that means 3^x is between 3^3 and 3^4. This means that x is a value between 3 and 4.
Answer:
The smaller angle is 35 and the larger one is 145.
Step-by-step explanation:
In order to find this, we need to express the larger angle in terms of the smaller angle (x).
4x + 5 = large angle.
Now that we have this, we can add them together and set equal to 180.
x + (4x + 5) = 180
5x + 5 = 180
5x = 175
x = 35
Now that we have the value of the smaller angle, we can plug in to get the larger angle.
y = 4x + 5
y = 4(35) + 5
y = 140 + 5
y = 145
Answer:
34 hours
Step-by-step explanation:
2:25 = x:425
25/2 = 12.5
425/12.5 = 34
so it is 34:425
She will need to read for 34 hours to read 425 pages
