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Lapatulllka [165]
3 years ago
14

Express each expression as a single logarithm.​

Mathematics
1 answer:
andreev551 [17]3 years ago
8 0

Answer:

1. 6

2. 23

Step-by-step explanation:

1.

logx+1 ( x^2 + 2x + 1)^3

= 3logx+1  ( x^2 + 2x + 1)

= 3 logx+1 (x + 1)^2

= 6 logx+1 (x + 1)  Now the logx+1 x+1 = 1  so

The answer is 6.

2.

log11 11^23

= 23 log11  11

As in question 1 log11 11 = 1

So the answer is 23.

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The marginal profit in dollars on Brie cheese sold at a cheese store is given by Upper P prime (x )equals x (60 x squared plus 9
blondinia [14]

Answer:

Part A:

P(x)=15x^4+30x^3-50

Part B:

P(4)=$4270

Step-by-step explanation:

Part A:

In order to find the profit function P(x) we have to integrate the P'(x)

P'(x)=x(60x^2+90x)

P'(x)=60x^3+90x^2

\int\limits {p'(x)} \, dx =\int\limits {60x^3+90x^2} \, dx

P(x)=15x^4+30x^3+C

when x=0, C=-50

P(x)=15x^4+30x^3-50

Part B:

x=4

P(x)=15x^4+30x^3-50

P(4)=15*4^4+30*4^3-50

P(4)=$4270

Profit from selling 400 pounds is $4270

8 0
3 years ago
2x – 5x + 16 = –3(x – 6)
lapo4ka [179]

Answer:

0

Step-by-step explanation:

2x – 5x + 16 = –3(x – 6)

2x - 5x + 16 = -3x + 18

-3x + 16 = -3x + 18

0x = 1

x = 0

6 0
3 years ago
Read 2 more answers
Can someone plz help me with Algebra 2....... :) Will give Brainliest!!
Anarel [89]
Using logarithms property of log(x)+log(y)=log(xy)
so here, you can sum the equation to;
log((x+6)*(x-6))=2
so you can simply say that;
log_{8}((x+6)( x-6))=2
and by multiplying (x+6)*(x-6)
log_{8}(x^2-36)=2
and as you know also that;
a^{b}=c is same as log _{a}c=b
so you can simply state it as;
8^2=x^2-36
64=x^2-36
64+36=x^2
x^2=100
x=10
And you can check your work by substituting with 10 instead of x in the original function.
Hope this helps!
6 0
3 years ago
Please help asap.xxx
kompoz [17]

Answer:

3,4

Step-by-step explanation:

4 0
3 years ago
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Hellllllllllllllllllllllllllllp!!!!!!!!!!!!!!!! will give brainliest
zavuch27 [327]

Answer:

Step-by-step explanation:

3in/4 = 0.75in(Diameter) for each circle

r = 0.375

A = πr^2

A(for 1 circle) = 0.141π

A(for 1/4 circle) = 0.035π

A x 4 because we have 4 circles =

0.141π

0.141π(area of middle) + 0.141π(area of circle) =

0.282π or 0.886in^2

5 0
3 years ago
Read 2 more answers
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