1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nataly_w [17]
3 years ago
15

Help please, and explain.

Mathematics
2 answers:
Sati [7]3 years ago
8 0

Step-by-step explanation:

Here we make use of the laws of logarithms:

log_a(PQ) = log_a(P)+log_a(Q)

which implies the following corollary

log_a(P^2) = log_a(P)+log_a(P) = 2log_a(P)

Notice how the log of a product is reduced to the sum of the log of the factors.  (Advantage is taken of this fact in the use of logarithm tables before the wide-spread use of electronic calculators (pre-70's) )

So substituting

x=log_a(3)

y=log_a(5)

we have

log_a(45) = log_a(3^2 * 5) = log_a(3^2) + log_a(5)=2log_a(3)+log_a(5)

=2x+y

Korvikt [17]3 years ago
4 0

Answer: 2x + y

<u>Step-by-step explanation:</u>

logₐ(3) = x

logₐ(5) = y

logₐ(45) = logₐ(3²· 5)

             = logₐ(3)² + logₐ(5)

             = 2 logₐ(3) + logₐ(5)

             = 2     x      +   y        <em>substituted given values (stated above)</em>


You might be interested in
What is the slope of the line through (-3,0) and (-4,-2)?
rodikova [14]

AnswerY=-10/3x+11:

Step-by-step explanation:

M=0--2/-3-4= -10/3

Y-1=-10/3(x-3)

-10/3x+10+1

Y=-10/3x+11

4 0
2 years ago
Ms.Cornick bought 6 new pens for $5.70. How much would it cost her to buy 11 pens at the same rate?​
UNO [17]

Answer:

about 11.50

Step-by-step explanation:

6 / 5.70 = 1.05

1.05 x 11

hope this helps

5 0
2 years ago
Solve all of them please u get 30 points​
nika2105 [10]

Step-by-step explanation:

from which text book please

8 0
2 years ago
Read 2 more answers
What are the potential solutions of In(x2 - 25) = 0?
Paha777 [63]

Answer:

x=\pm\sqrt{26}

Step-by-step explanation:

ln(x^2-25)=0

e^{ln(x^2-25)}=e^0

x^2-25=1

x^2=26

x=\pm\sqrt{26}

7 0
3 years ago
HELP PLZ
ollegr [7]

Answer:

a. ∠D'A'B'

Step-by-step explanation:

From the graph it is clear that the transformation doesn't affect the size and shape of the figure ABCD.

Only the coordinates of the points are changed with the length of each side remaining the same.

Hence the corresponding angle values will also remain unaltered.

∴ ∠DAB = ∠D'A'B'

5 0
3 years ago
Other questions:
  • When 18 is subtracted from six times a certain number,the result is -42. what is the number?
    5·2 answers
  • explain the relationship between the divisor, the dividend, the quotion and the number of times you subtracted the divisor from
    7·1 answer
  • What is -1 26/100 in simplest form
    10·1 answer
  • 6: REDUCE to simplest term. 4/1 + 15/2​
    8·1 answer
  • Help me please!! i’m confused!!
    7·1 answer
  • The polynomial equation x^3-4x^2+10=x^2-5x-3 has complex roots 3+2i What is the other root? Use a graphing calculator and a syst
    13·1 answer
  • En la escuela se va construir la cancha de futbol rápido que tiene 120m de largo y 60 m de ancho, pero su alrededor se hara una
    15·1 answer
  • Celeste hiked 1.8 miles in 0.75 hours.What is her average rate of speed?​
    7·1 answer
  • What is the value of u? (pls help and no links)
    11·2 answers
  • Use the information given to find a convenient dass width. Then list the class boundaries that can be used to create a relative
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!