The domain of the logarithm function is (0, ∞) and the range of the logarithm function will be (-∞, ∞)
<h3>What are domain and range?</h3>
The domain means all the possible values of the x and the range means all the possible values of the y.
The table is shown below.
Let the logarithm function with the variables x and y. Then we have
y = logₐ x
At x = 25, the value of y will be 2. Then the value of a will be
2 = logₐ 25
2 = 2 logₐ 5
1 = logₐ 5
Then 1 can be written as
1 = log₅ 5
Then on comparing, the value of a will be
a = 5
Then the logarithm function will be
y = log₅ x
Then the domain of the logarithm function is (0, ∞) and the range of the logarithm function will be (-∞, ∞)
More about the domain and range link is given below.
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Answer: 8
Step-by-step explanation: A divided by 2 equals 4.
1) do inverse operation which is multiplication
2) do 2 times 4
3) that equals 8
4) now we plug it in a= 8
5) we check our work....
8/2 = 4
Yay! it fits now we know our answer a=8 is correct
Answer:
2500
Step-by-step explanation:
it is a geometric progression
r=5
Answer:
$18
Step-by-step explanation:
1 pound of raisins = $2
1 pound of almonds = $5
Let the number of raisins be represented by a
Let the number of almonds be represented by b
We are told in the question that:
Six pounds of a trail mix contains 2 more pounds of raisins than almonds.
a + b = 6 pounds
Hence, Almonds = 2 pounds
Raisins = 4 pounds
The cost of the 6 pounds of trail mix
= 4 × $2 + 2 × $5
=$8 + $10
= $18
Answer:
Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one.
Step-by-step explanation: