Top answers

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 base, b. Let's take log ...
TH
Answered by Tom H. • Maths tutor
14011 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 dens...
SH
Answered by Sophie H. • Geography tutor
19543 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 the ...
JD
Answered by Jessica D. • Biology tutor
4203 Views

Why is zinc not considered a transition metal?

The electron configuration of zinc is [Ar]4s 2 3d 10 . The only oxidative state which zinc has is Zn 2+ in which its configuration is [Ar] (4s 0) 3d 10 , as the 4s sub-level empties first. The definition of ...
NS
Answered by Niall S. • Chemistry tutor
53509 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 2 +y...
CM
Answered by Chloe M. • Maths tutor
3454 Views