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Mathematics

2 answers:

alexdok [17]2 years ago

4 0

^^^^^^^^^^^^^^^^^^^^^^

Temka [501]2 years ago

3 0

Answer:

Step-by-step explanation:

$4 = 2^{2}\\y = 1/4 * (2^{2})^{3/2} = 1/4 * 2^{3}= 1/4 * 8 = 2$

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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

enyata [817]

Answer:

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

6 0

3 years ago

Find the greatest common factor of 28a^5 46a^3

Tasya [4]

The answer to the question

4 0

3 years ago

How many number are a units away from 0, if a>0?

NikAS [45]

The number of numbers which are a units away from 0 if a>0 is; 2 numbers.

<h3>Distance between numbers on the number line</h3>

by convention, the distance between two numbers on the number line is usually a positive number.

On this note, since the required numbers are a units away from zero, it follows that;

|a - 0| = a units

|0 - a| = a units.

On this note, only 2 numbers are a units away from zero according to the given condition.