All categories

3 years ago

If log 2 = a and log 5 b then log 32/125

Mathematics

1 answer:

sveta [45]3 years ago

4 0

Answer:

log(32/125)

=log32 - log125 [log(x/y)=log(x) - log(y)]

=log(2)^2 - log(5)^3

=2log2-3log5 [log(x)^p=p log x]

=2a-3b

You might be interested in

A swimming pool is being filled with a hose. The hose fills the pool at a constant rate. The pool's water level rises 3 inches i

Marizza181 [45]

0.3 inches per hour, if I did the math correctly.

5 0

3 years ago

If EF = 5w + 20, FG = 7w + 28, and EG = 72, find the value of w. Find EF and FG

IrinaK [193]

Answer:

w = 2, EF = 30 , FG = 42

Explanation:

We have EF = 5w + 20 and FG = 7w + 28

Since these points E, F and G are col-linear points we have.

EG = EF + FG

And given that EG = 72

So, EF+EG = 72

5w + 20 + 7w + 28 = 72

12w + 48 = 72

12 w = 24

w = 2

So EF = 5w + 20 = 5x2 + 20 = 30

FG = 7w + 28 = 7x2 + 28 = 42

7 0

3 years ago

A team has P points.

Llana [10]

Sub in the values and solve for W
50=3W+14
50-14=3W
36=3W
12=W
The team won 12 games.
12+14=26 (games drawn and won)
35-26=9
Therefore they lost 9 games

3 0

3 years ago

Read 2 more answers

Jared and Zach are practicing their free throws. Jared attempted x shots and made 75% of them. Zach attempted 10 more shots than

leonid [27]

0.75x+0.8(x + 10) = 101

4 0

3 years ago

Here are the first five terms of an arithmetic sequence.

Assoli18 [71]

Answer:

The nth term of an AP will be 27 -7n.

Step-by-step explanation:

First five terms of the Arthemetic Sequence is given to us , which is 26 , 19 , 12 , 5

Hence here Common Difference can be found by subtracting two consecutive terms . Here which is 19 - 26 = (-7) .

Here first term is 26 .

And the nth term of an AP is given by ,

★ T_n = a + ( n - 1) d

Substituting respective values ,

⇒ T_n = a + ( n - 1 )d

⇒ T_n = 26 + (n - 1)(-7)

⇒ T_n = 26 -7n+1

⇒ T_n = 27 - 7n

<h3>Hence the nth term of an AP can be found using T_n = 27 - 7n. </h3>

8 0

3 years ago