All categories

3 years ago

Find the value of x. log₂(3x-1)=3

Mathematics

2 answers:

WARRIOR [948]3 years ago

8 0

Given:-

${log}↓{2} (3x - 1) = 3$

We can write it in the exponential form :-

$3x - 1 = {2}^{3}$

Solving for x from the above equation, we have-

$3x - 1 = 8$

$→3x = 8 + 1$

$→3x = 9$

$→x = \frac{9}{3}$

$→x = 3$

Therefore, value of x is 3

-------------------★------------------------

Answered by Benjemin ☺️

Nadusha1986 [10]3 years ago

5 0

Answer:

x=3

Step-by-step explanation:

log₂(3x-1)=3

(3x-1)=2³

3x-1=8

3x=8+1

3x=9

x=9/3

x=3

You might be interested in

How do I solve 5x+1=7x+19

notsponge [240]

Answer:

x=-9

Step-by-step explanation:

5x+1=7x+19

1 = 7x-5x +19

1-19 = 2x

-18/2 = x

x = -9

Hope this helps!

Please mark brainliest if you think I helped! Would really appreciate!

5 0

3 years ago

If h(x) = (f o g)(x) and h(x) = ∛7x+1, find f(x) and g(x)

Mariana [72]

There's more than one way to combine them really
but an obvious one will be

$\bf \begin{array}{llll}
h(x)&=&(f\circ g)(x)\\\\
&&\sqrt[3]{7x+1}\\\\
&&\sqrt[3]{g(x)}\leftarrow 
\begin{array}{llll}
f(x)=\sqrt[3]{x }\\\\
g(x)=7x+1
\end{array}
\end{array}\\\\
-----------------------------\\\\
(f\circ g)(x)\iff f[\quad g(x)\quad ]=\sqrt[3]{g(x)}\implies f[\quad g(x)\quad ]=\sqrt[3]{7x+1}$

7 0

3 years ago

Which statements about the factors of the terms in the expression 20 a + 15 a b + 24 b are true? Select three options.

ExtremeBDS [4]

Answer:

Following are the true statements

2. The factors common to 20a and 15ab are 1, 5, and a.

3. The factors common to 20a and 24b are 1, 2, and 4.

5. The GCF of the expression is 1

Step-by-step explanation:

Expression is 20a + 15ab + 24b

Now lets have a look at each of the options provided!

1. The factors common to 20a and 15ab are 1, 5, a, and b.

False

As you can see there is no b in 20a term only 1,5,a are common hence it is false.

2. The factors common to 20a and 15ab are 1, 5, and a.

True

The terms 20a and 15ab are divisible by 1,5,a hence it is true.

3. The factors common to 20a and 24b are 1, 2, and 4.

True

The terms 20a and 24b are divisible by 1,2,4 hence it is true

4. The GCF of the expression is ab.

False

20a + 15ab + 24b

As you can see ab is not common in all of the terms hence it cannot be greatest common factor

5. The GCF of the expression is 1

True

Factor of 20 are: 2,2,5,1

Factor of 15 are: 3,5,1

Factor of 24 are: 2,2,2,3,1

As you can see the only common factor among all the terms is 1 hence GCF is 1.

5 0

3 years ago

6.1 Define the term inflation.

Harlamova29_29 [7]

Answer:

the action of inflating something or the condition of being inflated.

"the inflation of a balloon"

ASTRONOMY

(in some theories of cosmology) a very brief exponential expansion of the universe postulated to have interrupted the standard linear expansion shortly after the Big Bang.

ECONOMICS

a general increase in prices and fall in the purchasing value of money.

"policies aimed at controlling inflation"

7 0

2 years ago

In 1990, a person is 15 years old.

Evgesh-ka [11]

Answer:

Well, if this were to be $BC$ = Before Christ, the years would go back.

Step-by-step explanation:

And that's why the question is trying to trick you. So in 1990 BC the person is 15 years old. 5 years later, the same person is now 10 years. 5 years back is the order of the BC concept. Hope this makes sense!

6 0

3 years ago

Read 2 more answers

Find the value of x. log₂(3x-1)=3​

Find the value of x. log₂(3x-1)=3