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3 years ago

Which of the following is true regarding the solution to the logarithmic equation below?

Mathematics

2 answers:

Gemiola [76]3 years ago

8 0

Although the options are not provided, the true statement is:
x = 5 is a true solution because log₂(16) = 4
In order to check if a solution is true, we may plug it back into the original equation. When we plug x into the equation we get:
log₂(5+11) = 4
log₂(16) = 4
4 = 4

As the left hand side of the equation is equal to the right hand side, the solution is true.

Varvara68 [4.7K]3 years ago

8 0

Answer:

c on edge

Step-by-step explanation:

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What is the 24th term if the arithmetic sequence where a1 = 8 and a9 = 56

AnnyKZ [126]

Answer:

$a_{24} = 146$

Step-by-step explanation:

a1 = 8

a9 = 56

Using formula for finding nth term of arithmeric sequence

$a_{n} =a_{1} + (n-1)d$

We have to find 24th term, therefore n = 24

$a_{1}$ is the first term but we are missing d

d is the difference between the two consecutive terms, lets calculate it first

a9 = 56

Using the above given formula for finding d

put n = 9, a9= 56

$a_{9} =a_{1}+ (9-1)d$

56 = 8 + 8d

8d = 48

d = 6

Getting back to main part of finding 24th term

n = 24, d = 6, a1 = 8

put values in nth term formula

$a_{n} =a_{1}+ (n-1)d$

$a_{24} = 8 + (24-1)6$

$a_{24} = 8 + 138$

$a_{24} = 146$

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