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Fed [463]
2 years ago
9

8. While solving the equation log,(8x) – log,(x2 - 1) = log, 3, Karla found possible solutions at x=3

Mathematics
1 answer:
TiliK225 [7]2 years ago
3 0

The possible solution to the equation given is 3 and -1/3

<h3>Laws of logarithm</h3>

Given the logarithmic expression given as:

log,(8x) – log,(x^2 - 1) = log, 3

Applying the product and quotient rule will give:

log(8x/x^2-1) = log3

8x/x^2-1 = 3

Cross multiply

8x = 3x^2 - 3

3x^2 - 8x - 3 = 0

3x^2 -9x + x - 3 = 0

3x(x-3)+1(x-3)

x - 3 = 0 and 3x = -1

x = 3 and -1/3

Hence the possible solution to the equation given is 3 and -1/3

Learn more on logarithm here: brainly.com/question/25710806

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a coin must have diameter of 27.13 millimeters.To the nearest hundredth, what is the circumference of this coin millimeters
Bas_tet [7]
To find the circumference, you will use the formula for finding circumference of a circle.

I used the true value of pi for the calculations.

C = pi x d
pi x 27.13
C = 85.77mm

4 0
3 years ago
What is the volume of a square pyramids
frozen [14]

Answer:

\large\boxed{V=75\ in^3}

Step-by-step explanation:

The formula ogf a volume of  a pyramid:

V=\dfrac{1}{3}BH

B - area of a base

H - height

We have a base length a = 5 in and a height H = 9 in.

In the base we have a square. The formula of an area of a square is:

B=a^2

Substitute:

B=5^2=25\ in^2

Calculate the volume:

V=\dfrac{1}{3}(25)(9)=(25)(3)=75\ in^3

7 0
3 years ago
Al sumar fracciones con igual denominador, debemos sumar numerador con numerador y denominador con denominador. Verdadero o fals
Ahat [919]

Answer:

La respuesta es falso.  

Step-by-step explanation:

La respuesta es falso.  

Cuando se suman fraccciones con igual denominador, se suman los numeradores (numerador con numerador) y se deja el mismo denominador (el cual es común en ambos). Por ejemplo, la suma de 1/5 + 3/5 da como resultado:    

\frac{1}{5} + \frac{3}{5} = \frac{1 + 3}{5} = \frac{4}{5}

En el caso de fracciones con diferentes denominadores, tampoco se suma numerador con numerador y denominador con denominador. En ese caso se debe encontrar el mínimo común múltiplo.

 

Por lo tanto, la respuesta es falso.

Espero que te sea de utilidad!

7 0
3 years ago
You buy a new car for $31,300. The average car depreciates in value by 14% per year. How much will it be worth after each of the
Andrei [34K]

A = P(1 + rt)

A=31,300(1+.14*1)

A=35682

5 0
3 years ago
Find the difference . <br>6 3/5 - 4 3/10<br>A. 2 0/5 <br>B. 2 1/5<br>C. 2 3/10<br>D. 10 9/10
pochemuha
Make improper fractions.

33/5 - 43/10

Find a common denominator, in this case it is 10.

66/10 - 43/10 = 23/10

This can be simplified to 2  3/10

Hope this helps!
6 0
3 years ago
Read 2 more answers
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