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
OLEGan [10]
3 years ago
7

Solve logarithm Equation: log2 (12b - 21) - log2 (b^2 - 3)=2

Mathematics
1 answer:
Vikki [24]3 years ago
7 0
Hn, well you should use the rule to answer this.. log_a(n)-log_a(m)=log_a (\frac{n}{m} )
Sorry if this doesn't seem to help, but here is the explanation: 
log_2 (\frac{12b-21}{b^2-3} )=2
\frac{12b-21}{b^2-3} =4
12b-21=4(b^4-3)
0=4b^2-12b-12+21
0=4b^2-12b+9

0=4b^2-6b-6b+9
0=2b(2b-3)-3(2b-3)
0=(2b-3)(2b-3)
b= \frac{3}{2}
Hn, so from this information we can determine that this solution does not work. And so forth your solution set shall indeed be: {x= 0}

I wish you good luck on your homework and hopefully I was somewhat beneficial to your needs. 

Best regards~ Sans
You might be interested in
Which points are located on the x-axis?
Komok [63]

<u>B and C</u> are both on the x-axis, because their y values are zero.
6 0
3 years ago
Guys can somebody explain me how to do this?
Natali [406]

Answer:   _L_TS_OF_FLOURS

Each underscore represents an empty box, i.e. a space

I'm assuming your teacher probably meant to have _LOTS_OF_FLOURS

See the explanation below as to why that first "O" is left out.

I would as your teacher for more clarification if s/he made a typo or not.

==========================================================

Explanation:

For the stuff in the top row, we simplify the expression to get a single number. For example,

2^5 = 2*2*2*2*2 = 32

We have five copies of "2" multiplied out

The result of 32 means we'll cross off "32" from the list. This is the one with the lettering of "lV"

As another example,

3^4 = 3*3*3*3 = 81

The exponent tells us how many copies of the base to multiply

The result of 81 means we cross off the entry labeled "bT 81"

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

For the stuff in the bottom row, we replace the variables with the numbers associated with them.

When it says a = 2, we replace every copy of 'a' with 2

Something like (3a)^2 will then mean (3*2)^2. Use PEMDAS to simplify and you should get 36 as the result.

Check out the diagram below to see which items are crossed off the list. Each red box represents something that is crossed off the list.

The remaining items that weren't crossed off are:

  • mU  10
  • jG -32
  • eS  1/12
  • lO 1000 .... the first letter is lowercase L
  • hF  -1/32
  • bL 256
  • jF  -196
  • gO  32
  • oS  24
  • dT  36
  • nR 144
  • kL -180

We're given a set of boxes labeled with lowercase letters 'a' through 'p'

We'll write "L" in box "b" since these letters pair together in "bL 256"

Then we have "dT" up next to mean we'll write T in box d

Next letter S goes in box 'e' since we have the code "eS 1/12"

This process is repeated until we end up with _L_TS_OF_FLOURS

where each underscore is an empty box. For example, box 'a' is left empty since none of the remaining codes involve a lowercase 'a'

It appears your teacher made a typo. I'm guessing the answer to the riddle should be "_LOTS_OF_FLOURS", but box c is empty because none of the remaining codes involve lowercase c. We do have the code "cO -32" in the upper left corner, but it has been crossed off the list due to (-2)^5 = -32

6 0
1 year ago
Find the geometric mean between 4 and 25
natima [27]
Multiply 4and 25 then get the sq rt of 100 = 10
4 0
3 years ago
A dog is on a 20-foot leash in the backyard. Approximately how much area does the dog have to move around in the yard?
iragen [17]
With a 20 ft leash, the dog can move in the circle. Now, knowing that he can move around in a circle, we just need to use the circle formula. A = 3.14(r) squared.
Since you use 3.14 for pi; A = 3.14(20) squared --> A = 1256


Answer = 1256
3 0
3 years ago
Greg drove at a constant speed in a rainstorm for 300 miles. He took a break, and then stopped. He then drove 114 miles at a spe
swat32

Answer:

calculate it. its not cheating, its like flash cards but better ;)

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • In a competition, the ratio of the number of tickets Mark collected to the number of tickets Julia collected is 4:3. Julia colle
    12·1 answer
  • Express the verbal expression as an algebraic expression. Four less than eight times the sum of a number and seven.
    10·1 answer
  • Find the y-intercept for the parabola defined by
    12·2 answers
  • Geometry.<br><br> help please..
    6·1 answer
  • look at pic 10 pts will mark brainilest
    6·1 answer
  • Plesaseeeee solve correctly step by step !!!!!!!!! PLEASEE helppppp !!!!!!!!!!!!!
    9·2 answers
  • Please! Need help on this question
    5·2 answers
  • 2.5 L for 16 hours = __________ mL/hr<br><br> Round to tenths
    10·1 answer
  • Help me on this one for 10 points
    12·2 answers
  • Jake’s Kayaks for Rent charges $12 to rent a kayak plus an additional $3 per hour. Which equation models this situation?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!