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MAT1510 ASSIGNMENT 3 ANSWERS 2024 R50,00
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Exam (elaborations)

MAT1510 ASSIGNMENT 3 ANSWERS 2024

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MAT1510 ASSIGNMENT 3 ANSWERS 2024

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  • May 21, 2024
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tshegofatso31
MAT1510
ASSIGNMENT 3, 2024
ASSIGNMENT 03
Due date: Tuesday, 25 June 2024
Total Marks: 100
UNIQUE ASSIGNMENT NUMBER: 394458
ONLY FOR YEAR MODULE

, ASSIGNMENT 03
1.1) The expression log3(3^(√(2x +5))/(3^(p) * (x -1)^5)) can be rewritten
as:

log3(3^(√(2x +5))) - log3(3^(p)) - log3((x -1)^5)

This can further be simplified as:

√(2x +5) - p * log3(3) - 5 * log3(x - 1)

Since log3(3) = 1, the final expression is:

√(2x +5) - p - 5log3(x - 1)

1.2) The expression 3/2 * ln((x^2+1)/((x+1)(x-1))) can be rewritten as a
single logarithm:

ln((x^2+1)/(x+1)(x-1))^(3/2)

The final expression is:

ln((x^2+1)/(x+1)(x-1))^(3/2)

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