Solve question 3 for
41 points

(2)

Step-by-step explanation:

Our logarithmic expression is: .

Remember the logarithmic property that ln(a/b) = lna - lnb. So, we can write this as:

Also, we can write square roots as powers of one-half, so √e = . There's another log property that: . We can apply that here for both the √e and the y³:

Finally, note that ln(e) is just 1, so we have:

The answer is thus (2).

~ an aesthetics lover

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week