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
GenaCL600 [577]
3 years ago
12

Solve log8 12=x-2. Round your answer to four decimal places.

Mathematics
1 answer:
olganol [36]3 years ago
4 0

Answer:

\large\boxed{x\approx3.1950}

Step-by-step explanation:

\log_ab=c\iff a^c=b\\\\\log_812=x-2\iff8^{x-2}=12\\\\(2^3)^{x-2}=4\cdot3\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(x-2)}=2^2\cdot3\qquad\text{use the distributive property}\\\\2^{3x-6}=2^2\cdot3\qquad\text{divide both sides by}\ 2^2\\\\\dfrac{2^{3x-6}}{2^2}=3\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\2^{3x-6-2}=3\\\\2^{3x-8}=3\qquad\text{logarithm of both sides}\\\\\log_22^{3x-8}=\log_23\qquad\text{use}\ \log_aa^n=n\\\\3x-8=\log_23\qquad\text{add 8 to both sides}

3x=\log_23+8\qquad\text{divide both sides by 3}\\\\x=\dfrac{\log_23+8}{3}\\\\\log_23\approx1.5849625\\\\x\approx\dfrac{1.5849625+8}{3}\approx3.1950

You might be interested in
Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the ir
alexgriva [62]

Answer:

An apple, potato, and onion all taste the same if you eat them with your nose plugged

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Need help on this baldy plzz anyone.♥
AURORKA [14]
The answer is 24 
subtract 156 from 180
108-156=24
5 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!! GEOMETRY
Jet001 [13]
Parallel has same slope = -1/11

answer is B. -1/11
3 0
3 years ago
What is the next fraction in this sequence 3/10, 1/4, 1/5, 3/20,
uranmaximum [27]
1/10 is the next fraction in the sequence. If you multiply the numerator and denominator by a common factor to give each fraction a denominator of 20, the pattern goes 6/20, 5/20, 4/20, 3/20. The next term would be 2/20 which equals 1/10.
4 0
3 years ago
Lin is reading a 47-page book. She read the first 20 pages in 35 minutes. A: if she continues to read at the same rate, will she
Elena L [17]

Answer:

No

Step-by-step explanation

Because 20 more pages would take 35 more minutes which would be 40 pages at 70 mines then you will divide your 7 pages left by the 35 minutes it took to read the the first two 20 page sections of the book.

35 min.+ 35 min = 70 min.  35 mins./7 pages = 5 mintes

So it took a total of 75 minutes for Line to read her 47 page book.

6 0
3 years ago
Other questions:
  • Five pounds of cashews are mixed with five pounds of walnuts. If walnuts cost $8.50 per pound and cashews cost $6.00 per pound,
    8·1 answer
  • David printed 24 photos in eight minutes. How many photos did he print per minute
    6·2 answers
  • Tanner took a statistics test whose mean was 80 and the standard deviation was 5. The total points possible was 100. Tanner's sc
    10·1 answer
  • greg plans to buy a book for $5.00 and some music CDs for $4.00 each. the greatest total amount o money that greg plans to spend
    15·1 answer
  • <img src="https://tex.z-dn.net/?f=18t%20-%203%20-%205t%20%20%2B%208" id="TexFormula1" title="18t - 3 - 5t + 8" alt="18t - 3 - 5
    7·2 answers
  • Matthew cleaned the garage in 2.5 hours he was paid x dollars per hour he then spent $3 and had $12 remaining how much was he pa
    15·1 answer
  • Y cant the product of 2 digit numbers ever be 2 digits
    11·2 answers
  • What is the slope of the line through (-2, 7) and (-5, -7)?
    12·1 answer
  • Find the quotient.<br> 3/8 divided by 8
    15·1 answer
  • H = (0.24)I^2Rt, solve for R.​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!