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secondary 3 | A Maths
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Amath indices
Date Posted: 2 years ago
Views: 254
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)
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see photo.
Date Posted:
2 years ago
Thank you
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alternative
Date Posted:
2 years ago
done
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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
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