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
dezoksy [38]
3 years ago
12

2logxbase5 3logybase3=8 and 6logxbase5 2logybase3=2 solve silmultaneously

Mathematics
1 answer:
Vinil7 [7]3 years ago
5 0
2\log_5{x}+3\log_3{y}=8 \ . \ . \ . \ (1)\\6\log_5{x}+2\log_3{y}=2 \ . \ . \ . \ (2)\\ \\ (1)\times3:6\log_5{x}+9\log_3{y}=24 \ . \ . \ . \ (3) \\ \\ (3)-(2):7\log_3{y}=22\\ \log_3y=\frac{22}{7}\\3^{\log_3y}=3^{\frac{22}{7}}=31.59\\y=31.59\\ \\ From \ (1), 2\log_5{x}+3\log_3{31.59}=8\\2\log_5{x}=8-9.429=-1.429\\ \log_5{x}= -\frac{1.429}{2} =-0.7143\\5^{\log_5{x}}=5^{-0.7143}\\x=0.3168

Therefore, x = 0.3168 and y = 31.59
You might be interested in
Safiya deposited money into a bank account that earned 6.5% simple interest each year. After 312 years, she had earned $36.40 in
leonid [27]

Answer:

$1.80

Step-by-step explanation:

Use formula

I=P\cdot i\cdot t,

where I is interest, P is total principal, i is rate of interest per year (as decimal) and t is total time in years.

In your case,

I=$36.45, t=312, i=0.065, then

36.45=P\cdot 0.065\cdot 312,\\ \\P\approx \$1.80

6 0
3 years ago
Read 2 more answers
Pls help me I don’t understand
ipn [44]

Answer:

m<PXQ Is Acute

m<QXN is Obtuse

Step-by-step explanation:

Acute Angles are lsss than 90⁰

Obtuse Angles are greater than 90⁰

Right angles are exactly 90⁰

6 0
3 years ago
What is 4/15 in simplify form
sp2606 [1]
4/15 because it can't be reduced any more. I hope this helps you out! :D
6 0
3 years ago
Read 2 more answers
#3Elizabeth takes her younger siblings to the fair. She spends a total of
Debora [2.8K]
Take 40.00 divide by 8 to pay 5.00 a bag
5 0
2 years ago
Solve the system by substitution<br> -4.5x-2y=-12.5<br> 3.25x-y=-0.75
gogolik [260]

Answer:

The answer to your question is: x = 1, y = 4

Step-by-step explanation:

I'll change decimals to fractions

4.5 = 9/2

12.5 = 25/2

3.25 = 13/4

0.75 = 3/4

                             -9/2 x - 2 y = - 25/2         (I)

                             13/4 x  -   y  = - 3/4            (ll)

Process

               from (II)     y = 13/4x  + 3/4

Sunstitution             -9/2x -2(13/4 x + 3/4) = - 25/2

                               -9/2 x - 13/2 x - 3/2 = -25/2

Multiply by 2         -9 x - 13 x - 3 = -25

                             -22 x = -25  + 3

                            -22 x = -22

                             x = 22/22

                            x = 1

                             y = 13/4 (1) + 3/4

                             y = 16/4

                             y = 4                                          

7 0
3 years ago
Other questions:
  • Hey can you please help me posted picture of question
    9·1 answer
  • Jason considered two similar televisions at a local electronics store. The generic version was based off the brand name and was
    13·2 answers
  • Answer the highlighted questions
    11·1 answer
  • 5/8 entre 1/4<br> Help me please
    8·2 answers
  • What is the slope of the line represented by the equation -2y=x-1?
    15·2 answers
  • What is an equation of the line that passes through the points (-4, -4) and (4, 6)?
    14·2 answers
  • PLZ HELP!!!!!!!!!!!!!
    14·1 answer
  • A jar contains 5 blue marbles, 7 yellow marbles, and 8 green marbles. What is the probability of randomly choosing a blue marble
    6·1 answer
  • kiaras monthly rent increased from $425 to $480 whats the percent increase in her rent rounded to the nearest tenth of a percent
    8·1 answer
  • I really need help ................................................​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!