1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Liula [17]
3 years ago
10

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 <em>x </em>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 <u>3</u>

<em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>★</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em>

<em>Answe</em><em>r</em><em>e</em><em>d </em><em>by </em><em>Benjemin</em><em> ☺️</em>

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
Helppp plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Lynna [10]

Answer:

Jacob served 16 quarts of juice.

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
The value of |kl - |m| if k= -8 and m = -5 is . <br><br> PLEASE HELP
joja [24]
-3 ? i think if it’s wrong i’m sorry
7 0
3 years ago
In parallelogram ABCD , diagonals AC¯¯¯¯¯ and BD¯¯¯¯¯ intersect at point E, BE=2x2−x , and DE=x2+6 .
abruzzese [7]
AC and BC intercept each other at point E. So E is a point on BD.

Then BE + DE = BD. That gives us

BD = 2x^2-x+x^2+6=3x^2-x+6

The answer is BD=3x^2-x+6
3 0
3 years ago
Read 2 more answers
Do you think that science is a waste of time?
Gnoma [55]

Answer:

it can be. It just depends on what you are interested in. If you are interested in a scientific field then it is an amazing way to use your time. But if you are bot interested in science, it is a waste personally.

7 0
2 years ago
Read 2 more answers
Combine Radicals/Fractional Exponents
Crazy boy [7]

\mathsf{Given :\;\;\dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{64x^3y^3}}}

\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{4^3x^3y^3}}}

\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{(4xy)^3}}}

\bigstar\;\;\textsf{We know that : \boxed{\mathsf{\sqrt[n]{a} = a^{\dfrac{1}{n}}}}}

\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{{(4xy)^{\dfrac{3}{3}}}}}

\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{{4xy}}}

\mathsf{\implies \left(\dfrac{5}{4}\right) \left(\dfrac{x^{\dfrac{-3}{2}}}{{x}}\right)\left(\dfrac{y^{-2}}{y}\right)}

\bigstar\;\;\textsf{We know that : \boxed{\dfrac{a^m}{a^n} = a^{m - n}}}}

\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-3}{2} - 1\right)}}y^{(-2 - 1)}}

\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-3 - 2}{2}\right)}}y^{-3}}

\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-5}{2}\right)}}y^{-3}}

\textsf{Comparing the above with $\mathbf{ax^by^c}$, We can notice that :}

\bigstar\;\;\mathsf{a = \dfrac{5}{4}}

\bigstar\;\;\mathsf{b = \dfrac{-5}{2}}

\bigstar\;\;\mathsf{c = -3}

\implies \mathsf{Product\;of\;a,\;b\;and\;c = \left(\dfrac{5}{4}\times \dfrac{-5}{2} \times -3\right)}

\implies \mathsf{Product\;of\;a,\;b\;and\;c = \dfrac{75}{8}}

7 0
4 years ago
Other questions:
  • What is the length of line segment FE?
    13·1 answer
  • The stopping distance of a car is modeled by the function d = 0.05r(r + 2) where d is the stopping distance of the car measured
    6·1 answer
  • HELP, please....
    7·2 answers
  • The statement “All right angles measure 90 degrees” has a counterexample. <br> True False
    11·2 answers
  • Negative 2 multiply to blank equal negative fourteen
    8·1 answer
  • Three dogs eat 30 pounds of food in 10 days. If each dog eats the same amount, how much food does 1 dog eat in 1 day? 1 pound 3
    15·2 answers
  • In ∆ KLM above, NO // ML and &lt; KNO = &lt; KON. Find m &lt; MNL =
    5·1 answer
  • Exit
    7·2 answers
  • Riya and her friends want to rent a flat. They want the flat to be lower than the 5th floor. They want a flat that costs between
    6·1 answer
  • If you get a $50.00 raise in pay per month and your taxes also increase about $50.00 per month, how would you probably feel?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!