We have that
<span>Log3 a/3
</span>Rewrite log3(a/3) using the change of base <span>formula
we know that
</span>The change of base rule can be used if a and b are greater than 0 and not equal to 1, and x is greater than 0<span>.
</span>so
loga(x)=<span>logb(x)/<span>logb<span>(a)
</span></span></span>Substitute in values for the variables in the change of base <span>formula
</span>
in this problem
b=10
a=3
x=a/3
log3(a/3)=[log (a/3)]/[log (3)]
the answer is
[log (a/3)]/[log (3)]
Answer:
1043.43
Step-by-step explanation:
Hello!
To answer this question we need to find the factors of -120.
The total set (both negative and postive! ) are the following:
- 1, -120
- 2, -60
- 3, -40
- 4, -30
- 5, -24
- 6, -20
- 8, -15
- 10, -12
- 12, -10
- 15, -8
- 20, -6
- 24, -5
- 30, -4
- 40, -3
- 60, -2
- 120, -1
After looking over all of these factors, we can see that 10 · -12 is equal to not only -120, but when the multiplication sign is replace by addition, it is equal to -2!
Hope this helps.
I think the answer would be C. (btw, you should charge your phone/tablet, lol)
Answer:
• No
• Yes
• Yes
• No
Step-by-step explanation:
To determine if the 4 given values of y are solutions to the inequality, start by solving the inequality. Solving an inequality is just like that of an equation, except that the direction of the sign changes when the inequality is divided by a negative number.
-2y +7≤ -5
Subtract 7 on both sides:
-2y≤ -5 -7
-2y≤ -12
Divide by -2 on both sides:
y≥ 6
This means that the solution can be 6 or greater than 6.
-10 and 3 are smaller than 6 and are not a solutions, while 7 and 6 satisfies the inequality and are therefore solutions.
_______
Alternatively, we can also substitute each value of y into the inequality and check if the value is less than or equal to -5.
Here's an example to check if -10 is a solution.
-2y +7≤ -5
When y= -10,
-2y +7
= -2(-10) +7
= 20 +7
= 27
Since 27 is greater than 5, it is <u>not</u> a solution to the inequality.
