question

Omniya Mahmoud · #1 24-12-2010, 01:44 PM

Hi everybody I'm a secondary student I need help with Math 1 , Especially Algebra I have Questions and I need somebody to help me And to answer my Questions Thank You All
Q1 :-
Prove that :
Log4 15 + 4 Log4 5+ Log4 3**√3

5= _______________________

Log4 75 - Log4 5√3

Please everyone try to help!!!!!!!!! thank u
!

Omniya Mahmoud · #2 24-12-2010, 08:16 PM

thank u !!!!!! but i need someone urgently help me with this question!!!! thank u all

MathPrince · #3 01-01-2011, 02:09 AM

R.H.S. = $\frac{log_{4}15+4log_{4}5+log_{4}3\sqrt{3}}{log_{4}75-log_{4}5\sqrt{3}}$

= $\frac{log_{4}(5\times 3)+4log_{4}5+log_{4}3+log_{4}\sqrt{3}}{log_{4}(5^{2}\times 3)-log_{4}5+log_{4}\sqrt{3}}$

= $\frac{log_{4}5+log_{4}3+4log_{4}5+log_{4}3+\frac{1}{2}log_{4}3}{2log_{4}5+log_{4}3-log_{4}5-\frac{1}{2}log_{4}3}$

= $\frac{5log_{4}5+\frac{5}{2}log_{4}3}{log_{4}5+\frac{1}{2}log_{4}3}$

by taking 5 ac a common factor from the numerator
= 5

Omniya Mahmoud · #4 02-01-2011, 04:54 PM

Oh thank u very much hhhh :D u are now my friend if i want anything u'll help me hhhhhhhh :D thank u very much really !!!!!