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andrew11 [14]
3 years ago
7

What is equal to 3log2 + log4

Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
7 0
Well I tried sloving it and I got 1.5
sineoko [7]3 years ago
4 0
Log Rule #1:  log(x*y) = log(x)+log(y)
Log Rule #2:  log(x^y) = y*log(x)

Using those log rules, we can say...

3*log(2) + log(4) = log(2^3) + log(4)  <-- use log rule #2
3*log(2) + log(4) = log(8) + log(4)     <-- simplify 2^3 to get 8
3*log(2) + log(4) = log(8*4)               <-- use log rule #1
3*log(2) + log(4) = log(32)                <-- simplify 8*4 to get 32

So the expression simplifies to log(32)
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What is the axis of symmetry of h(x)= 5x^2+40x+ 64?
andrezito [222]

Answer:

Axis of symmetry is  x = -4

Step-by-step explanation:

h(x)= 5x^2+40x+ 64

Use the formula for axis of symmetry:   x = -b/(2a)

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6 0
3 years ago
A patrolman spends 25% every day completing paperwork. The patrolman’s shift each day is 8 hours. How much of his time does he s
fredd [130]
Assuming the man works 8 hours straight without breaks:

25% is the same as 1/4 of something.

So, we just have to figure out what 1/4 (one quarter) of 8 equals.

You can think of it as a pizza cut into 8 slices. One slice is equivalent to one hour for the patrolman.

If we take away 1/2 (half) of the pizza, we have 4 slices, right? Since we start with 8 slices, half of that equals 4 slices. In other words, 50% (half) of the pizza = 4 slices.

Now, 25% (one quarter) of the pizza will equal half of what is left:

If we know that 50%=4 slices (or 4 hours), then 25% must be 2 slices (or 2 hours).

That's it! 25% of 8 hours = 2 hours.

***So, the patrolman spends 2 hours each day completing paperwork.***

Lets check our work:
We know 8 hours (or 8 slices)= 100%
(We know this because
8 slices = 1 whole pizza, or 100% of a pizza. Similarly,
8 hours = 1 whole shift or 100% of the man's shift ).

So

25% + 25% + 25% + 25% = 100%

If 100% of the mans shift = 8 hours:

2+2+2+2 = 8

It checks out!


Hope this helps!



4 0
3 years ago
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