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It is given that n satisfies the equation 2*log(n) - log(5*n - 24) = log(4). Show that n^2 - 20*n + 96 = 0.

Given 2log a n - log a (5 n -24) = log a (4) , we can rearrange to have all the "2logs" on one side and the "logs" on the other.So, 2log a n = log a (4) + log a (5 n -24) . Using the laws...
CS
Answered by Cara S. • Maths tutor
5923 Views

An electron is moving with speed 2x10^5ms-1 through a magnetic field of strength 0.5T. If the electrons velocity is perpendicular to the direction of the magnetic field, what is the magnitude of the force felt by the electron?

F = q v x B = qvB sin(O). q is the electrons charge = 1.6x10 -19 C. v is the electrons speed = 2x10 5 ms -1 . B is the magnetic field strength = 0.5 T. O is the angle between the electrons velocity vector an...
AB
Answered by Angus B. • Physics tutor
2563 Views

Solve the following equation for x: x^2 - 4x - 17 = 4

First, take 4 from both sides of the equation to get everything on the LHS:x^2 - 4x - 17 - 4 = 4 - 4 so we have x^2 - 4x - 21 = 0We are looking to factorise the equation in the following way:(x + a)(x + b) =...
JH
Answered by Jennifer H. • Maths tutor
3972 Views

[after scenario] What offences could Ken be liable for when looking at his conduct towards Norma?

Ken could be liable for the theft of the jackets he sent for dry cleaning at Norma’s shop.Theft is defined in section 1 of the theft act 1968 as the appropriation of property belonging to another, dishonestl...
GM
Answered by George M. • Law tutor
2199 Views

In the story of Bacchus and the sailors, featured in Metamorphoses III, what image do we get of the god Bacchus?

The most striking image that Ovid creates of the god is one of a cruel exactor of divine justice. His transformation of the sailors into dolphins is one of many examples where mortals are stripped of their h...
AH
Answered by Andrew H. • Latin tutor
5599 Views