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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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Why do 3 protons need to pass from the intermembrane space into the matrix of the mitochondrion in order to form 1 ATP molecule?

It has to do with the structure of the ATP synthase protein. The part in the centre moves 120 degrees with each prototon that passes through. This makes the 3 ATP/ADP binding sites to change shape. Each of t...
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Answered by Beatrice B. • Biology tutor
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(6x+4)/(2x- 2) + 3 = 4 solve for x

divide fraction by 2 3x+2 / x-1 + 3 = 4 multiply by x-1 3x + 2 + 3x - 3 = 4x - 4 6x -1 = 4x -4 2x = -3 x= -3/2
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Answered by Arjun C. • Maths tutor
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Using your knowledge of genotype and phenotype, explain why identical twins may have different personalities.

As identical (monozygotic) twins share 100% of the same genetic material, we can say that their genotype is identical. However, this is only an example of how nature can influence behaviour that is partly ge...
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Answered by Sophia Z. • Psychology tutor
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Why would the National Grid limit the amount of fossil fuels we combust at peak times of energy demand?

What do we know about fossil fuels? We know they have a high energy density upon combustion, hence why we've combusted them since the beginning of the industrial revolution to increase economic growth and qu...
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