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
jasenka [17]
2 years ago
8

2•log(x – 3) = log 25

Mathematics
1 answer:
AfilCa [17]2 years ago
8 0

Answer:

Step-by-step explanation:

2log(x-3)=log25

log(x-3)²=log25 cancel out log on both sides

(x-3)²=25

x²-6x+9=25

x²-6x+9-25=0

x²-6x-16=0 factorize

x²+2x-8x-16=0

x(x+2)-8(x+2)

(x-8)(x+2)=0

x-8=0 or x+2=0

x=8 or x=-2

x=-2 cannot be considered because of the -ve sign.

x=8.

check

2log(x-3)

2log(8-3)

2log5

log5²=25

therefore LHS=RHS

You might be interested in
maria purchased a new jacket for 78.12. the orginal price of the jacket was discounted 20% and Maria had to pay 5% sales tax. wh
prohojiy [21]
20 percent of the discount minus 5 percent sales tax equals to 15 percent.
know calculate the 15 percentage out of 78,12 so x on 78,12 equals to 20 on 100 so 78,12 equals to 100 percent and x equals to 15 percent so 78,12 times 15 divided by 100 is 15 percent or the number you found discount and and sales tax combined know you substact 15 percent out of your original price.


7 0
2 years ago
How would i solve these two problems?
Montano1993 [528]
Number 17 9216 because you take 96*4
8 0
3 years ago
Four runners are training for long races. Noah Ran 5.123 miles. Andre ran 6.34 miles. Jada ran 7.1 miles. Diego ran 8 miles.
VashaNatasha [74]
5.5 is a lot closer then the others
7 0
3 years ago
the scale of a model railroad set is 3.5 millimeters to one foot if the length of a model car in the set is 150 millimeters what
Montano1993 [528]

\bf \begin{array}{ccll} \stackrel{mm}{model}&\stackrel{ft}{actual}\\ \cline{1-2} 3.5&1\\ 150&x \end{array}\implies \cfrac{3.5}{150}=\cfrac{1}{x}\implies x=\cfrac{150\cdot 1}{3.5}\implies x\approx 42.86

6 0
3 years ago
Read 2 more answers
There are two humans , three dogs , two birds , five cats , and a spider in a room . How many legs are all together
bulgar [2K]

Answer:

all together there will be 44 legs

3 0
2 years ago
Other questions:
  • Two fractions with the same denominator that have numerators 5 and 7. What could the denominator be if the sum is less than 1? E
    14·1 answer
  • What is 5.61 written as a percent?<br><br> 0.0561%<br> 0.561%<br> 56.1%<br> 561%
    14·2 answers
  • What is the sine and cosine of 240
    14·2 answers
  • Detroit Windsor tunnel is an underwater highway that connects the cities in Detroit Michigan in Windsor Ontario. How many times
    13·2 answers
  • 35% of what number is 91
    10·1 answer
  • Find the solutions to the equation below 9x^2 -81=0
    5·1 answer
  • Please help 20 points look at pic
    7·1 answer
  • I NEED HELP WILL GIVE BRAINLIEST. PLZZZZ
    9·2 answers
  • Points j and k lie in plane h. how many lines can be drawn through points j and k? 0 1 2 3
    14·1 answer
  • Each child ticket for a ride costs $3, while each adult ticket costs $5. if the ride collected a total of $115, and 33 tickets w
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!