If 3^2x+1 = 3^x+5, what is the value of x? 2 3 4 6

4

Step-by-step explanation:

Here the given expression is,

We can write,

(Because )

⇒   ( Subtracting x on both sides)

⇒         ( Subtracting 1 on both sides)

⇒

⇒ Fourth Option is correct.

Choice C is the answer.

Step-by-step explanation:

We have given a equation.

We have to find the value of x.

We use following property to solve this question.

⇒ a = b

Using above property,we get

2x+1 = x+5

Adding -x to both sides of above equation,we get

-x+2x+1 = -x+x+5

x+1 = 5

Adding -1 to both sides of above equation,we get

x+1-1 = 5-1

x = 4 which is the answer.

the answer is b

(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