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2 log(x + a) = log(16a^6) where a is a positive constant. How do I find x in terms of a?

The left hand side of the equation can be rewritten as log(x+a)^2, using the power rule for logs. We can then simplify log(x+a)^2=log(16a^6) to (x+a)^2=16a^6. Taking the square root of both sides, we find x+...
EV
Answered by Emily V. • Maths tutor
15420 Views

How do I solve quadratic equation by completing the square : X^2 - 4X = 5

We have X 2 - 4X = 5, write the expression on the left side as X 2 - 2•2X = 5. Then we would need extra term 4 to complete the square, so adding 4 on the both sides gives us, X 2 - 2•2X + 4 = 5 +4. Simplify ...
RK
Answered by Rabin K. • Maths tutor
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How should I approach the critical essay? (Higher)

The key to this portion of the paper is to know your studied texts in depth. This is not to say that you should be able to recite 200 different lines from Anthony and Cleopatra. It is a case of understanding...
TD
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What is the difference between conservation and preservation regarding species

Although they both promote sustainability: Conservation is the human involvement in attempts to protect wildlife. Usually with endangered species where they can be tracked and looked after with human help, t...
AC
Answered by Aadil C. • Biology tutor
8757 Views

Integrate cos(4x)+16x^3 with respect to x

This is a simple integration, integrating each individual term with respect to x.For the cos(4x), you should use 'integration by substitution' as it is a function of a function.cos(4x) = cos(u) and u = 4x wh...
AC
Answered by Aadil C. • Maths tutor
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