Ask Singapore Homework?
Upload a photo of a Singapore homework and someone will email you the solution for free.
Question
secondary 3 | A Maths
4 Answers Below
Anyone can contribute an answer, even non-tutors.
Amath indices
Date Posted: 2 years ago
Views: 294
LHS
= 3^(3x)
RHS
= (3√27) ^ (½)
= ( 3•3^(³⁄₂) ) ^ (½)
= ( 3^(⁵⁄₂) ) ^ (½)
= 3^(⁵⁄₄)
3x = ⁵⁄₄
x = ⁵⁄₁₂ (Ans)
= 3^(3x)
RHS
= (3√27) ^ (½)
= ( 3•3^(³⁄₂) ) ^ (½)
= ( 3^(⁵⁄₂) ) ^ (½)
= 3^(⁵⁄₄)
3x = ⁵⁄₄
x = ⁵⁄₁₂ (Ans)
alternative
27^(2x) = 3•√27
27^(4x) = 9•27
3^(12x) = 3²•3³ = 3⁵
12x = 5
x = ⁵⁄₁₂ (Ans)
27^(2x) = 3•√27
27^(4x) = 9•27
3^(12x) = 3²•3³ = 3⁵
12x = 5
x = ⁵⁄₁₂ (Ans)
See 4 Answers
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
see photo.
Date Posted:
2 years ago
Thank you
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
alternative
Date Posted:
2 years ago
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
This question is testing your understanding on indices. Take note that you should be familiar with perfect cubes (which are 1,8,27,64,125,…) and perfect squares (which are 1,4,9,16,25,…) as it will help you a lot in answering many indices questions.
Date Posted:
2 years ago
360 Tutoring Program