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
mezya [45]
3 years ago
11

Suppose log subscript a x equals 3, log subscript a y equals 7, and log subscript a z equals short dash 2. Find the value of the

following expression. log subscript a open parentheses fraction numerator x cubed y over denominator z to the power of 4 end fraction close parentheses
Mathematics
1 answer:
enyata [817]3 years ago
6 0

Answer:

<h2>24</h2>

Step-by-step explanation:

Given the following logarithmic expressions log_ax = 3, log_ay = 7, log_az = -2, we are to find the value of log_a(\frac{x^3y}{z^4} )

from\ log_ax = 3, x = a^3\\\\from\ log_ay = 7,y = a^7\\\\from\ log_az = -2, z = a^{-2}Substituting x = a³, y = a⁷ and z = a⁻² into the log function log_a(\frac{x^3y}{z^4} ) we will have;

= log_a(\frac{x^3y}{z^4} )\\\\= log_a(\dfrac{(a^3)^3*a^7}{(a^{-2})^4} )\\\\= log_a(\dfrac{a^9*a^7}{a^{-8}} )\\\\= log_a\dfrac{a^{16}}{a^{-8}} \\\\= log_aa^{16+8}\\\\= log_aa^{24}\\\\= 24log_aa\\\\= 24* 1\\\\= 24

Hence, the value of the logarithm expression is 24

You might be interested in
(4abc)^2(2a^2bc)(ab^3c^3)
Natasha_Volkova [10]
(4abc)^2(2a^2bc)(ab^3c^3)

= (16a^2b^2c^2)(2a^2bc)(ab^3c^3)

= 32a^5b^6c^6
3 0
3 years ago
How do you describe the principal square root of the 34? *
malfutka [58]

Answer:

B. The square root of 34 is an irrational number.

Step-by-step explanation:

The square root of 34 is a rational number if 34 is a perfect square.

Since 34 is not a perfect square, it is an irrational number.

5 0
2 years ago
Select the two binomials that are factors of this trinomial.
mojhsa [17]

To split this trinomial into two binomials, let's try and find two numbers which add to 6 and multiply to 8. To do this, we can list all the factors of 8 and then choose which factors also add to 6.

Factors of 8: (1, 8), (2, 4)


1 + 8 = 9, meaning that 1 and 8 are not the factors we are looking for. However, 2 and 4 do add to 6. By combining these numbers which an x (so that we can produce the x^2 term at the front of the trinomial), we find the binomials:

x+ 2 and x + 4


The answer is x + 2 and x + 4.

5 0
3 years ago
Read 2 more answers
Angela works a basic week of 40 hours and her hourly rate of pay is $12.50. Calculate her weekly wage.
lutik1710 [3]

Answer:

$500

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
PLEASE ANSWER ASAP!!!! MUST BE CORRECT FOR POINTS GIVEN!!!!! THE QUESTION IS BELOW IN THE SCREENSHOT!!!!! VERY IMPORTANT!!!!!
AfilCa [17]
The answer is D:6 because you divide by 3
3 0
3 years ago
Read 2 more answers
Other questions:
  • SURFACE AREAS – PYRAMIDS URGENT
    5·1 answer
  • Find the​ slope-intercept equation of the line that has the given characteristics:
    10·1 answer
  • Each of 8 students reported the number of movies they saw in the past year. This is what they reported: 7, 18, 18, 15, 17, 10, 1
    14·1 answer
  • Farmer Joe sprays his crops every harvesting season. Each season he uses 230 lbs of chemicals on his farm. About 5% of the chemi
    14·1 answer
  • What professionals most directly use geometry in their work
    14·1 answer
  • Find out the output, k, when the input, x, is -5. K=6x+100
    10·1 answer
  • If you know the radius of a circle how do you find its circumference
    10·2 answers
  • David drove 1,092 miles in 7 days
    11·1 answer
  • Because energy is conserved, we can calculate kinetic or potential energy at all times if we know one or the other at different
    7·1 answer
  • For the arithmetic sequence -3 , -15 , -27 , -39 , -51, ... , The 50th term is .........................
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!