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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 = log_a(x), then this means that y is the power you have to raise a to, to get x, that is a^y = x.Now, we want to introduce a new ba...

Answered by Tom H. • Maths tutor

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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...

Answered by Sophie H. • Geography tutor

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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...

Answered by Jessica D. • Biology tutor

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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...

Answered by Niall S. • Chemistry tutor

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