Expression as a single natural logarithm is 2.48490664979.
<h3>What is natural logarithm?</h3>
ln 3+ ln 4
ln (3×4)
ln(12) =2.48490664979
The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.
The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).
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4x°=75-x° this might be wrong but I’m sure
Answer:
To find the x-intercept, substitute in 0 for y and solve for x
. To find the y-intercept, substitute in 0 for x and solve for y
.
x-intercept: (−
45
,
0
)
y-intercept: (
0
,
−
15
)
Answer:
-5.5
4.5
Step-by-step explanation:
Given:
The numbers to order from least to greatest is given as:

In order to compare these numbers, we have to convert them in same form.
Let us simplify each number in decimal form.

So, the least number is one which has the largest value with a negative sign.
Here, -5.5 is the least number.
The next smallest number is -4.47. So, 
The next smallest number is 2. So, 
The next smallest number is 3.14. So, 
The greatest number is 4.5.
Therefore, the order from the least to greatest is:
-5.5 <
<
<
< 4.5
Answer:
P = 0.5Q - 20
Step-by-step explanation:
P = kQ + c
substitute Q = 60 , P = 10 into the equation
10 = 60k + c → (1)
substitute Q = 240, P = 100 into the equation
100 = 240k + c → (2)
subtract (1) from (2) term by term to eliminate c
90 = 180k ( divide both sides by 180 )
=
= 0.5 = k
substitute k = 0.5 into (1) and solve for c
10 = 60(0.5) + c
10 = 30 + c ( subtract 30 from both sides )
- 20 = c
then
P = 0.5Q - 20