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2 years ago

Logarithm

Mathematics

1 answer:

aev [14]2 years ago

7 0

Answer:

1) (1/3)log_7(10); 3) log_8(u) - log_8(v); 5) 3ln(x)

Step-by-step explanation:

log_7(^3sqrt(10))

log_7(10^1/3)

log_a(x^b) = b * log_a(x); when x >= 0.

(1/3)log_7(10)

About 0.39443...

log_8(u/v)

log_c(a/b) = log_c(a) - log_c(b)

log_8(u) - log_8(v)

ln(x^3)

log_a(x^b) = b * log_a(x); when x >= 0.

3ln(x)

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A group of friends were working on a student film with a budget of $700, which they

Westkost [7]

Answer:

76%

Step-by-step explanation:

First do 700 - 168 which is 532

Next we see that 700 is 100% in this scenario

Then we will use the value we seek as ‘x’

So, x% = 532

We can put the two equations, 100%/x% = 700/532

they both have LHS

We can take the inverse from both sides yields

Therefore, the answer is 76%

8 0

2 years ago

At a NASCAR racetrack, the distance per lap is 2 miles. Lou Lambert drives his car at a constant rate of 160 miles per hour. Ral

Nezavi [6.7K]

Answer:

24 minutes

Step-by-step explanation:

Given:

Distance per lap = 2 miles

Speed of Lou Lambert = 160 miles/hr

Speed of Ralph Redding = 170 miles/hr

Speed difference between the two = 170 - 160 = 10 miles/hr

Therefore, we can say that Ralph gains 10 miles in 60 minutes over Lou.

We have to find the time in which Ralph will gain 2 laps i.e. 2 $\times$ 2 = 4 miles.

Let us use unitary method to find the required time.

10 miles are gained by Ralph in 60 minutes

1 mile will be gained in $\frac{60}{10} = 6\ minutes$

4 miles will be gained in 6 $\times$ 4 = 24 minutes

7 0

2 years ago

Given g(x)=Squareroot x-4 and h(x)=2x-8, what is g(h(10))

yan [13]

Answer:

$g(h(10)) = 2\sqrt 2$

Step-by-step explanation:

Given

$g(x) = \sqrt {x - 4$

$h(x) = 2x - 8$

Required

$g(h(10))$

First, calculate $g(h(x))$

We have:

$g(x) = \sqrt {x - 4$

This gives:

$g(h(x)) = \sqrt {h(x) - 4$

Substitute $h(x) = 2x - 8$

$g(h(x)) = \sqrt {2x - 8 - 4$

$g(h(x)) = \sqrt {2x - 12$

Substitute $x = 10$

$g(h(10)) = \sqrt {2*10 - 12$

$g(h(10)) = \sqrt {20 - 12$

$g(h(10)) = \sqrt {8\\$

Split

$g(h(10)) = \sqrt {4} * \sqrt 2$

This gives

$g(h(10)) = 2\sqrt 2$

8 0

2 years ago

Read 2 more answers

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777dan777 [17]

The answer to the question

3 0

3 years ago

Determine the value of x in the diagram. 112 x < 68 112 =

nasty-shy [4]

Answer:

The value of x is 68, all the angles in a parrelelogram equal 360, 68 + 112 + 112 + x = 360, all the angles are 292, and subtracted from 360 you get 68

Step-by-step explanation:

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2 years ago