3 years ago

What is the value of x

Mathematics

2 answers:

Vilka [71]3 years ago

8 0

The answer is 2. Hope this helps!

givi [52]3 years ago

4 0

The answer to this question is 2 ! Hope you get it right

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Let log_(b)A=3; log_(b)C=2; log_(b)D=5 what is the value of log_(b)((A^(5)C^(2))/(D^(6)))

Colt1911 [192]

Answer:

-11

Step-by-step explanation:

Given

$\log_bA=3\\ \\\log_bC=2\\ \\\log_bD=5$

Use properties:

$\log_b(A\cdot C)=\log_bA+\log_bC\\ \\\log_b\dfrac{A}{C}=\log_bA-\log_bC\\ \\\log_bA^k=k\log_bA$

Thus,

$\log_b\dfrac{A^5\cdot C^2}{D^6}\\ \\=\log_b(A^5\cdot C^2)-\log_bD^6\\ \\=\log_bA^5+\log_bC^2-\log_bD^6\\ \\=5\log_bA+2\log_bC-6\log_bD\\ \\=5\cdot 3+2\cdot 2-6\cdot 5\\ \\=15+4-30\\ \\=-11$

3 0

3 years ago

A box contains 300 raffle tickets. Only 15 tickets are winning tickets. What is the

Roman55 [17]

Answer:

Step-by-step explanation:

15/300 = 0.05

3 0

2 years ago

Need help pleaseeeeeeeeee

sukhopar [10]

4log6-log2 =
4log(6/2)=
4log3=
log3⁴=
log81= approximately 1.9085

but I think they want you to stop at log 81

8 0

3 years ago

Let x be the ages of students in a class. Given the frequency distribution f(x) above, determine the following probabilities:.

lora16 [44]

Probabilities are used to determine the chances of events

The value of the probability P(x < 24) is 0.7895

<h3>How to calculate the probability P(x < 24)?</h3>

This is calculated as:

$P(x < 24) = \frac{n(x < 24)}{Total}$

So, we have:

$P(x < 24) = \frac{22 + 3 + 5}{22 + 3 + 5 + 4 + 4}$

Evaluate the sums

$P(x < 24) = \frac{30}{38}$

Evaluate the quotient

$P(x < 24) = 0.7895$

Hence, the value of the probability P(x < 24) is 0.7895