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Prove the change of base formula for logarithms. That is, prove that log_a (x) = log_b (x) / log_b (a).

Firstly, recall the definition of a logarithm: if y = loga(x), then this means that y is the power you have to raise a to, to get x, that is ay = x.Now, we want to introduce a new ba...

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Answered by Tom H. Maths tutor
10398 Views

Outline the formation of hotspots and explain their relationship to plate movement.

Hotspots, which occur away from plate boundaries, develop when the decay of radioactive elements in the Earth's core heat magma directly above it in the mantle. The heated magma expands and becomes less d...

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Answered by Sophie H. Geography tutor
15769 Views

Explain the process of thrombosis?

Throughout the body, blood is transported through vessels (arteries, veins and capillaries). Within the arteries (biggest vessels), different factors can cause the build up of cholesterol in the wall of t...

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Answered by Jessica D. Biology tutor
3611 Views

Why is zinc not considered a transition metal?

The electron configuration of zinc is [Ar]4s23d10. The only oxidative state which zinc has is Zn2+ in which its configuration is [Ar] (4s0)3d10, as t...

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Answered by Niall S. Chemistry tutor
40338 Views

How do you solve the simultaneous equations x^2+y=1 and -x+y=-1

First rearrange the second equation so that it's equal to y. You do this by adding x and y to both sides of the equation. You should then have y=x-1. Next you should sub y=x-1 into the first equation, x

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Answered by Chloe M. Maths tutor
2883 Views

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