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2 years ago

Log base 5 (3) - log base 5 (5x) = 2

1 answer:

5 0

The answer is 3/125

$log_a(x) - log_a(y)=log_a( \frac{x}{y} ) \\ 
log_5(3) - log_5(5x) = log_5( \frac{3}{5x})$

$log_5( \frac{3}{5x})=2$

Since $log_b(x)=y$ is $b^{y} =x$ , then:
$log_5( \frac{3}{5x})=2$ is
$5^{2} = \frac{3}{5x} \\ 25 = \frac{3}{5x} \\ 5x*25=3 \\ 125x=3 \\ x=3/125$

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Steve works two different jobs for a total of 60 hours every Monday through Friday schedule is the same each day and he works th

Semenov [28]

Answer:

Step-by-step explanation:

Steve works:

- 60 hour per week = 12 hours per day (60/5)

- first job: 3 hours per day = 15 hours per week

- x = second job hours per day

equitation:

1st option to calculate:

12 (total hours per day) = 3 (hours per day on first job) + X

9 = X

2nd option to calculate:

60(total hours per week) = 15 (3 hours per day x 5) + x

45 = x

you need to divide 45 / 5 to get the daily hours which is 9

4 0

3 years ago

4 × (3 + 7) = (4 ×[]) + (4 ×[])

Naily [24]

Answer:

4 × (3 + 7) = (4 ×7) + (4 × 3)

Step-by-step explanation:

If you go by the order of PEMDAS you would do the parentheses first. 3 + 7 =10. 10 × 4 = 40. Then you would just use the distributive property and do (4× 7) + (4 × 3)

4 × 7 = 28 and 4 × 3 = 12 28 +12 =40

8 0

3 years ago

1/2 divided by 3 (im doing a quiz and im stuck lol(

Irina18 [472]

Answer:

Isn't it 1/6

Step-by-step explanation:

1 . 1

_ _ 3 = _

2 . 6

4 0

3 years ago

Read 2 more answers

What is the volume of a sphere with a radius of 5 meters rounded to the nearest square meter.

-BARSIC- [3]

Step-by-step explanation:

V = 4/3 π r³

V = 4/3 π (5 m)³

V = 524 m³

8 0

3 years ago

A weather plane took to the skies to measure the speed of the jet stream. The plane flew 1920 km with the jet stream as a tail w

Alex

For this case, the first thing we must do is define variables:
p: plane speed
w: wind speed
With the wind in favor, the speed is:
$p + w = 1920/2
$
With the wind against the speed is:
$p - w = 1920 / 3.2
$
Rewriting both equations, we have the following system of equations:
$p + w = 960

p - w = 600$
Then, solving the system of equations (graphically for example), we have the solution is:
$p = 780

w = 180$
Therefore, jet stream's speed:
$w = 180 km / h
$
Answer:
A) p + w = 960; p - w = 600; jet stream's speed = 180 km / h

7 0

3 years ago