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Given that log_{x} (7y+1) - log_{x} (2y) =1 x>4, 0<y<1 , express y in terms of x.

log_{x} (7y+1) - log{x} (2y) =1 --&gt; log_{x} [(7y+1)/2y]=1 (y =/= 0, Rules of logarithms i.e. difference of logarithms) --&gt; x = [(7y+1)/2y] (x&gt;0, Rules of logarithms i.e. log_{x} x = 1) --&gt; 2yx = ...
CL
Answered by Christopher L. Maths tutor
6693 Views

What is the difference between using ‘weil’ and ‘denn’ in German?

Both 'weil' and 'denn' mean 'because', however it is important to remember that they affect the structure of sentences differently: 'Denn' introduces a 'main clause', meaning that it can be used without any ...
HT
Answered by Hannah T. German tutor
34210 Views

Why are the lungs adapted for the rapid absorption of oxygen into the blood?

Oxygen is absorped into the blood by the process of diffusion. A large surface area, short diffusion pathway (the distance the oxygen has to travel through) and large concentration gradient increases the rat...
CP
9499 Views

What is the meaning of having a 3 by 3 matrix with determinent 0. Both geometrically and algebriaclly.

The matrix is singular. No inverse matrix. Geometrically: No unique point of intersection of planes, Either no common point, a line of intersection or the three planes coincide. Alegebriacally: No unique sol...
RM
3290 Views

How do you express partial fractions of a proper fraction that has a denominator of (x-2)(x+1)^2

A/(x-2) + B/(x+1) + C/(x+1)^2
RM
Answered by Rana M. Maths tutor
4402 Views