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3 years ago

If log a=3 log b-2 log c, find an expression for a that does not involve logarithms

Mathematics

1 answer:

photoshop1234 [79]3 years ago

7 0

Assuming that b>0 and c>0:

log(a)=3×log(b)-2×log(c)=

log(b³)-log(c²)=

log(b³/c²)

Hence a=b³/c²

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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B36%5D%7B540%7D%20" id="TexFormula1" title=" \sqrt[36]{540} " alt=" \sqrt[36]{540}

Rzqust [24]

540/36= 15

36 l_15_____

540

-36

----

180

- 180

------------

5 0

3 years ago

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 – 2m6 + 5m2n4 – m3n

MaRussiya [10]

Answer:

$-6m^{6}+n^{6}+7mn^{5}+14m^{2}n^{4}-5m^{3}n^{3}$

Step-by-step explanation:

given polynomial is:

$8mn^{5}-2m^{6}+5m^{2}n^{4}-m^{3}n^{3}+n^{6}-4m^{6}+9m^{2}n^{4}- mn^{5}-4m^{3}n^{3}$

write similar terms together,

$-2m^{6}-4m^{6}+n^{6}+8mn^{5}-mn^{5}+5m^{2}n^{4}+9m^{2}n^{4}-m^{3}n^{3}-4m^{3}n^{3}$

$-6m^{6}+n^{6}+7mn^{5}+14m^{2}n^{4}-5m^{3}n^{3}$

Hence, polynomial in standard form $-6m^{6}+n^{6}+7mn^{5}+14m^{2}n^{4}-5m^{3}n^{3}$

8 0

3 years ago

(You will get brainliest if you give a long answer) You have recently purchased a new backpack as show in the picture. The main

Natalka [10]

*see attachment for diagram

Answer:

Volume of new backpack = 1,299.84 in.³

Step-by-step explanation:

Volume of the new back pack = volume of the front pocket + volume of the main section of the backpack

✔️Volume of the front pocket = volume of rectangular prism = L*W*H

L = 8 in.

W = 4 in.

H = 2 in.

Volume of the front pocket = 8*4*2 = 64 in.³

✔️Volume of the main section of the back pack = volume of the rectangular prism + volume of the half cylinder

= L*W*H + ½(πr²h)

L = 12 in.

W = 10 in.

H = 7 in.

r = 6 in.

h = 7 in.

Plug in the values into the equation

Volume of the main section of the backpack = 12*10*7 + ½(π*6²*7)

= 840 + ½(791.68)

= 1,235.84 in.³

✅Total volume of the new backpack = 64 + 1,235.84 = 1,299.84 in.³

3 0

3 years ago

Which ordered pair is a solution of the equation? y=-2x-5y

Allushta [10]

Answer:

if y = 5 than 2x - 5 = 5 we can simplify this too 2x = 10 ( by adding the 5 to both sides ) now we can simplify and get x = 5 ( by dividing by 2 ) so we get (5,5) as our first point. well since its in slope intercept form ( y = mx + b ) we can graph it.

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Solve log x − 1 16 = 4.

Reptile [31]

I hope this helps you

log(x-1)4^2=4

2.log (x-1)4=4

log (x-1)4=2

log (x-2)2^2=2

2log (x-1)2=2

log (x-1)2=1

[logab=y b=a^y]

b=2 a=x-1 y=1

2=(x-1)^1

x-1=2

x=3

3 0

3 years ago

If log a=3 log b-2 log c, find an expression for a that does not involve logarithms​

If log a=3 log b-2 log c, find an expression for a that does not involve logarithms