All categories

3 years ago

Log(x+6)-log(x-3)=1 I need to show work, please show me how

Mathematics

2 answers:

Illusion [34]3 years ago

8 0

Answer:

x = 4.

Step-by-step explanation:

log(x + 6)- log(x - 3) = 1

Using the law log a - log b = log a/b:

log (x + 6)/ (x - 3) = 1

Removing logs:

(x + 6)/ (x - 3) = 10

x+ 6 = 10x - 30

9x = 36

x = 4 (answer).

IgorC [24]3 years ago

4 0

Answer:

Step-by-step explanation

$log (x+6) - log (x-3) = 1 \\log \frac {x+6}{x-3} = log \ e\\x+6 = e(x-3)\\(1-e)x = -(e+3)\\x=\frac{e+3}{e-1}$

Step 1: on LHS the difference of two logs, is equal of the log of the division, on RHS, 1 is the log of the base, whatever the base is.

Rest is a 1st grade equation, isolate x, divide.

You might be interested in

The expression 625(1−x) gives the discounted price of a television, where x is the percent of the discount written in decimal fo

bekas [8.4K]

the original price of the television

is your answer.

6 0

3 years ago

Read 2 more answers

Flauer [41]

Answer:

1 3/4 x 8 = 14. In 10 days, he will be paid the amount of one day x 10. 14 x 10 = 140. Tom will be paid $140 in 10 days

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Someone answer this quickly

san4es73 [151]

The answer is A because it beeds to go over the Y axis

3 0

2 years ago

Read 2 more answers

One grocery clerk can stock a shelf in 20 min. A second clerk requires 45 min to stock the same shelf. How long would it take to

Lorico [155]

<u>Answer: </u>

clerk A and clerk B can simultaneously stock a shelf in $\frac{180}{13}$ minutes

<u>Explanation:</u>

Let the first clerk be A and the second clerk be B

A can stock a shelf in 20 min

B can stock a shelf in 45 min

Consider the complete work to be W

A’s rate of stocking = $\frac{W}{20}$ per minute

B’s rate of stocking = $\frac{W}{45}$ per minute

When, A and B work simultaneously, rate of work done = $\frac{W}{20}+\frac{W}{45}$

Total work done simulatenously = $\frac{W}{\frac{W}{20}+\frac{w}{45}}$

= $\frac{20 * 45}{20+45}$

Therefore, clerk A and clerk B can simultaneously stock a shelf in $\frac{180}{13}$ minutes

8 0

3 years ago

Complete the two-way frequency table below, which shows the

Tamiku [17]

Answer:

Step-by-step explanation:

Probability that is a AB type blood given is a Male

P(AB/M) = 42/500 = 21/250

Probability that they are Male with an AB type blood out of all AB type blood people = Probability that is a Male out of all students

P(M∩AB) = P(M)

(42/105) = (500/1,250)

.4 = .4 ✅

The events "the student is male" and "the student has blood type AB" are independent events.

3 0

2 years ago