Ask Singapore Homework?
Upload a photo of a Singapore homework and someone will email you the solution for free.
Question
secondary 3 | A Maths
One Answer Below
Anyone can contribute an answer, even non-tutors.
pls help! thanks in advance!!
Date Posted: 4 years ago
Views: 194
p3^q = 25 - 7 = 18 ①
p5^q = 57 - 7 = 50 ②
Divide ① by ②,
p3^q / p5^q = 18/50
3^q / 5^q = 9/25
(3/5)^q = 9/25
q = Log3/5 (9/25)
= ln(9/25) / ln(3/5)
= ln(3/5)² / ln(3/5)
= 2ln(3/5) / ln(3/5)
= 2
Alternatively,
(3/5)^q = 9/25 = (3/5)²
Since both terms now have the same base
Comparing the exponents of both terms,
q = 2
p5^q = 57 - 7 = 50 ②
Divide ① by ②,
p3^q / p5^q = 18/50
3^q / 5^q = 9/25
(3/5)^q = 9/25
q = Log3/5 (9/25)
= ln(9/25) / ln(3/5)
= ln(3/5)² / ln(3/5)
= 2ln(3/5) / ln(3/5)
= 2
Alternatively,
(3/5)^q = 9/25 = (3/5)²
Since both terms now have the same base
Comparing the exponents of both terms,
q = 2
p3^q = 25 - 7 = 18 ①
Sub q = 2 into ① (or ② if you prefer)
For ① :
p(3²) = 18
p = 18/9 = 2
Sub q = 2 into ① (or ② if you prefer)
For ① :
p(3²) = 18
p = 18/9 = 2
thanks!!
Welcome
See 1 Answer
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
If you need a tutor to help you more consistently, check out an initiative called the
Temporary Academic Assistance (TAA), where students/private tutors/ teachers are volunteering their time to teach :) Don't worry it's free!
https://tinyurl.com/TAADatabase
Temporary Academic Assistance (TAA), where students/private tutors/ teachers are volunteering their time to teach :) Don't worry it's free!
https://tinyurl.com/TAADatabase
Date Posted:
4 years ago
360 Tutoring Program