There are 49 students had their lunch in the cafeteria. One-

Which logarithmic equation is equivalent to the exponential equation below?

anzhelika [568]

Answer:

$log_e^{67.21}= a$

Step-by-step explanation:

The equation is ,

$\implies 67.21 = e^a$

Here e is the Euler's Number . The log which are defined on the base e are called Natural logarithms.

Say if we have a expoteintial equation ,

$\implies a^m = n$

In logarithmic form it is ,

$\implies log_a^n = m$

Similarly our required answer will be ,

$\implies\boxed{ log_e^{67.21}= a }$

3 0

3 years ago

There are 7 red, 8 green, and 6 blue marbles

dem82 [27]

(8+6)/(7+8+6)
=14/21
=0.67
=67%

3 0

3 years ago

Read 2 more answers

How much time is there between 7:45 am today and 3:15 pm tomorrow?

professor190 [17]

4:30 hours ..............

8 0

3 years ago

Write this statement as a conditional in if-then form:. . All triangles have three sides.. . (1 point). If a triangle has three

ehidna [41]

The <u>correct answer</u> is:

<span>If a figure is a triangle, then it has three sides.

Explanation:

A conditional is an if-then statement. The part after "if" is called the hypothesis; the part after "then" is called the conclusion.

We know that triangles have 3 sides. We will start out with "if a figure is a triangle"; we end with "then it has three sides."

This is a true conditional statement.</span>

3 0

4 years ago

Read 2 more answers

8 freshmen, 9 sophomores, 9 juniors, and 7 seniors are eligible to be on a committee.

loris [4]

Answer: 11113200

Step-by-step explanation:

We know that , the number of combination of choosing r things from n things is given by :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

$^8C_4\times ^9C_5\times^9C_2\times^7C_3$

$=\dfrac{8!}{(8-4)!4!}\times\dfrac{9!}{(9-5)!5!}\times\dfrac{9!}{(9-2)!2!}\times\dfrac{7!}{3!(7-3)!}\\\\ =\dfrac{8\times7\times6\times5\times4!}{4!4!}\times\dfrac{9\times8\times7\times6\times5!}{4!5!}\times\dfrac{9\times8\times7!}{7!2!}\times\dfrac{7\times6\times5\times4!}{3!4!}\\\\=11113200$

∴ The number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors = 11113200

6 0

3 years ago