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What is ln(10)-ln(5)?

Laws of logs tells us that ln(a) - ln(b) = ln(a/b) Therefore ln(10)-ln(5) = ln(10/5) = ln(2)
JC
Answered by Jawad C. Maths tutor
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How do you factorise x^2 -4 = 0?

x 2 -4=0 becomes (x+2)(x-2)=0 Either one of the two brackets has the value of 0. If the first bracket is zero, then x+2=0, therefore x=-2 If the second bracket is zero, then x-2=0, therefore x=2
JC
Answered by Jawad C. Maths tutor
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In the context of company X(supermarket), distinguish between Just-In-Time (JIT) and Just-In-Case (JIC)

Command term: "Distinguish" = AO2—Demonstrate application and analysis 3 Steps to the answer 1)Define: What is JIT and JIC? 2)Apply: Apply to the case study: Has company X carried out JIC or JIT? 3...
RH
2858 Views

differentiate 4x^3 + 3x^2 -5x +1

when differentiating, we multiply the power by the coefficient and then take the power away by 1 so : y= 4x^3 + 3x^2 -5x +1 then 4 x 3= 12 and 3-1 = 2 meaning the solution is 12x^2. 2 x 3 = 6 and 2-1 = 1 giv...
JR
Answered by James R. Maths tutor
5146 Views

Use logarithms to solve the equation 2^(5x) = 3^(2x+1) , giving the answer correct to 3 significant figures

Taking the log of both sides we get 5x * ln2 = (2x+1) * ln3. Taking everything that contains x to the left side: x * (5 ln2 - 2 ln3) = ln3. Therefore x=ln3/(5 ln2 - 2 ln3) x is approx 0.866
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Answered by Beatrice B. Maths tutor
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