If you consider the logarithm base 3 of both sides, you have

You can use a rule of logarithms that allow you to turn exponents into multiplicative factors:

So the equation becomes

Now, by definition, you have

So, you have

So, the equation becomes

Answer:
The common difference is 14
Step-by-step explanation:
The series goes 11,25,39,53,67
To find the common difference, take the second term and subtract the first term.
25-11 = 14
Check with the third term and the second term
39-25 = 14
The common difference is 14
Answer:
9/20 yes, 4/15 not. See below
Step-by-step explanation:
Pick 9/20 and multiply numerator and denominator by 5:
9/20 = 45/100
We know that if we divide a number by 100 we need to move the coma as two places left, so:
9/20 = 45/100 = 0.45
And this is a terminal decimal as we know where it ends.
On the other hand if we pick 4/15 let try to divide it (here I will do it 'manually'):
4 |_ 15
we can divide 4 by 15, so we use 40 and begin with a comma
40 |_ 15
0.
15 enters 2 times in 40 with a rest of 10, so:
40 |_ 15
30 0.2
100
100 divided by 15 is 6 and we have 10 as rest again, and again and again...
40 |_ 15
30 0.266.....
100
100
....
So, we will have 0.266666666666666 infinitely. The decimal for 4/15 is non terminating and is 0.26666666666666666...
Answer:
-2
Step-by-step explanation:
Integers can be positive or negative.
Answer:
y= -2/3x-6
Step-by-step explanation:
y=mx+b
m=-2/3
b=-6
plug the answers in to get y= -2/3x-6