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
DiKsa [7]
3 years ago
15

Hi i need help with 15a(ii)

Mathematics
2 answers:
Ivahew [28]3 years ago
6 0

Answer:

5/2

Step-by-step explanation:

So first of all 1/log_3(4) can be written as log_4(3)...

So everything is base 4 except the log_8(x^3)...

We can play with this to get it so that the base is 4.

Let y=log_8(x^3) then 8^y=x^3

Rewrite 8 as 4^(3/2) so we have

4^(3/2 *y)=x^3

Now rewriting in log form gives: log_4(x^3)=3/2*y

Then solving that for y gives 2/3*log_4(x^3) or log_4(x^2)... let's put it back into the equation:

log_4(x^2+5x)-log_4(x^2)=log_4(3)

log_4((x^2+5x)/x^2)=log_4(3)

Set insides equal:

(x^2+5x)/x^2=3

Cross multiply:

x^2+5x=3x^2

Subtract 3x^2 on both sides:

-2x^2+5x=0

Factor

-x(2x-5)=0

So solutions are 0 and 5/2.  

We have to verify these...

0 isn't going to work because we can't do log of 0

it makes x^2+5x 0 and x^3 0

The only solution is 5/2.

Art [367]3 years ago
5 0

Answer:

x = 5/2

Step-by-step explanation:

log4(x^2+5x)-log8(x^3)=1/log3(4)

log(x^2 + 5 x) / log(4) - log(x^3) / log(8) = log(3) / log(4)

log(x (x+5))/log(4) - log(x^3) / log(8) = log(3) / log(4)

(3 log(x (x+5)) - 2 log(x^3)) / log(64) = log(3) / log(4)

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

log((3 x)/(x+5))=0

x=5/2

You might be interested in
Every time Liliana bakes a batch of brownies, she uses 34 cup of chocolate. If she has 128 cup(s) of chocolate remaining, how ma
pogonyaev

Answer:

3

MARK BRAINLIEST IF THIS HELPED!

i hope u have a great day.

6 0
3 years ago
Read 2 more answers
Solve for x. <br><br> 12x/5 = 18
jarptica [38.1K]
For this problem you have to isolate the variable. To do this you must inverse the operations. Multiply 18 by 5, then divide by 12 to get your answer of 7.5
3 0
3 years ago
Hi can someone help me with these? if its wrong then just tell me so i can fix those ;-;
musickatia [10]

Answer:

1) 1

2) 5

3) -8

4) 10

5) 9

6) -1

7) -3

8 0
2 years ago
Read 2 more answers
HELP QUICK PLS WILL GIVE BRAINLIEST
alexandr1967 [171]

Answer:

0.08(50h)

Step-by-step explanation:

0.08(50h)+50h=

8/100(50h)+50h=

0.08(50h)+50h

It's 0.08 of 50h, so

0.08(50h)

4 0
3 years ago
Please help! I’ll also give brainliest! Thank you!
navik [9.2K]

Answer: Union of two sets.

Explanation: "An element is in the union of two sets if it is in the first set, the second set, or both. The symbol we use for the union is  ∪ . The word that you will often see that indicates a union is "or".

Your Welcome :-)

4 0
2 years ago
Other questions:
  • Heather and her family are going to the grand opening of a new amusement park. There is a special price on tickets this weekend.
    14·2 answers
  • What is 2,871,000,000 in scientific notation
    11·2 answers
  • What is the sum of Negative 8 + 6?
    8·1 answer
  • How many arrays can Courtney make with the 36 photos? List all the possible arrays
    8·1 answer
  • sales in the printing business have doubled for james in each of the last three months. during the last month, he made a profit
    13·1 answer
  • Evaluate 3 to the power of 3+1⋅9+12<br><br> A.24<br> B.30<br> C.48<br> D.264
    6·2 answers
  • Andrea can rollerblade faster than most skateboarders, she can go 250 feet in 10 seconds. At this rate, how many miles can she r
    15·1 answer
  • What is the probability of being born on a day that does not begin with the letter T?
    13·1 answer
  • Mr. Jimerson records the amount of snowfall that the local area recieves. 12am-1am: 0.3 inches | 1am-2am: 0.8 inches | 2am-3am:
    6·1 answer
  • This is pretty easy :0
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!