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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
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7 0
3 years ago
How do I get the answer for N x 4/5 = 3/4
agasfer [191]
<span><span>n<span>x4/</span></span>5</span>=<span>3/<span>4

</span></span><span><span><span><span>1/5</span><span>n<span>x^4</span></span></span><span><span>x^4/</span>5</span></span>=<span><span>3/4</span><span><span>x^4/</span>5</span></span></span><span>
Answer is n=
<span>15/<span>4<span>x<span>4</span></span></span></span></span>
8 0
3 years ago
Could someone help and explain their answer? (NO LINKS!)<br> Thanks!
Nonamiya [84]

Answer:

5

Step-by-step explanation:

To find the prime factorization of a number, start by dividing the number by each prime number that you can divide by as many times as possible, starting with the smallest prime number and moving up. Then move on to the next prime number. The last division must give a quotient of 1. Then the prime factorization is the product of all the prime factors you divided the number by.

Here's how you use this method with 180.

Here are the first 10 prime numbers:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Start by trying to divide by 2. 180 is divisible by 2.

180/2 = 90       90 is divisible by 2.

90/2 = 45         45 is not divisible by 2, so now try 3.

45/3 = 15          15 is divisible by 3.

15/3 = 5            5 is prime, so it is divisible by 5.

5/5 = 1              The divisors in bold are the prime factors of 180.

180 = 2 × 2 × 3 × 3 × 5

180 = 2² × 3² × 5

Answer: 5

3 0
2 years ago
Read 2 more answers
Write the denominator for each of the decimal numbers. (each answer, 1 point)
Troyanec [42]

Answer:

.3078542 -----> 5,000,000

.0372 ------> 2,500

.26319 ------> 100,000

Step-by-step explanation:

.3078542 = \frac{3078542}{10000000} = \frac{1539271}{5000000}\\\\\\.0372 = \frac{372}{10000} = \frac{186}{5000} = \frac{93}{2500}\\\\\\\\.26319 = \frac{26319}{100000}     \\

3 0
3 years ago
The sum of two numbers is 180. one number is 5 times the other
stepan [7]
30 & 150. 150 is five times 30, and 150+30=180
8 0
3 years ago
Read 2 more answers
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