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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

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Please help y - (-10) = 12 <br> y = ______
kotykmax [81]
Subtracting a negative means that you will add the number. Convert the symbols to get the following:

y + 10 = 12

Subtract 10 from both sides.

y = 2


3 0
2 years ago
Mark has 312 books in his bookcases. He has 11 times as many fiction as nonfiction books. How many fiction books does Mark have?
larisa [96]
11x represents the fiction
X represents the nonfiction book

11x+x=312
12x=312
Divide both by 12
X=26

To find the fiction you have to do 11 times 26

11•26=286

To check the answer you add 286 and 26

If it adds up to 312 the answer is correct
6 0
3 years ago
I need help please :))))
LenaWriter [7]

First, you should find a common denominator:

Turn 2/5 into 4/10 by multiplying by 2.

Then, find the difference in your fractions:

7/10 - 4/10 = 3/10.

Your answer is 3/10.

4 0
2 years ago
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Solve the following equation for the variable a 2a+b=c-4d
Natasha_Volkova [10]
2a+b=c-4d
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6 0
3 years ago
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I'll mark brainliest and thank profile, just need help.
RideAnS [48]

Answer:

The equation of the regression line for the following data is:

y=2.4x+120.1

Step-by-step explanation:

We are given a set of data values in table form as:

           Day(x)                  Number of visitors(y)

               1                              120

               2                             124

               3                             130

               4                              131

               5                              135

               6                              132

               7                              135

Hence, when we draw a scatter plot with the help of these data points using the linear regression calculator we see that the regression line is a line with y-intercept as (0,120.1) and x-intercept as  (-50.04,0)

Hence, the regression line for the following data is:

                   y=2.4x+120.1

8 0
3 years ago
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