Show that -b + Vb² – 4ac) log -b – Vb² + log 4ac 2a 2a = log c – log a

Q: (b) If 2log 5+log 4 = 2, find a.

A: The given equation is: 2loga5+loga4=2   As we know the logarithmic properties; 1). logaxb=a·logab…

Q: Solve. log,(3x – 4) = log:(x + 2)

A: To solve the given equation

Q: Express x in term of y if: log,xy =2 +2log,x -3log,y

A: Given that:  log4xy=2+2log4x-3log4y We have to express x in the form of y.

Q: Condense 1 logs (bº) + 7' + Glog3(b – 6) – 5 log3(b + 7) = -

A: Consider  log3b6+14log3b−6−5log3b+7

Q: = log3x + log(5x²-3x) - log3x², express x in terms of y.

A: Topic:- algebra

Q: alog (6x+)-Log 2-L0g, (3x+2)=2

A:

Q: Solve. log, x = 3 - log,(x - 2)

A: We know that, from the property of logarithm logam+logan=logamn           ⋯⋯1logab=c⇒ac=b        ⋯⋯2

Q: Combine 5log, A+ 2 log,B-3log,C as a single logarithm: (a) log2 ) (b) log; () (c) log, () (d)…

A:

Q: Show that 4 + log 2 3 = 1 + log 2 24

A: Given:4+log2 3=1+log2 24Formula:loga a=1loga ap=ploge a×b=loge a+ logeb

Q: 2. Write as a single log in simplified form. [3 marks each] log(6x² + 5x − 6) + log(2x − 3) −…

A: log(6x2+5x-6)+log(2x-3)-log(4x2-9)=log(6x2+5x-6)(2x-3)-log(4x2-9)…

Q: Solve. a) log(x+ 3) + log(x – 2) = log(3x+2) b) 6**3 - 6* = 215 %3D

A:

Q: Which of the following would is a Step in solving for x ? %3D log2 (8x) + log, (3x- 5) = 3 O log,…

A: We have to find the step which is involving in solving for x: log28x+log23x-5=3 We know the product…

Q: Log(1 – iV3)² = a. 2Log(1 – iv3) b. Log(1+ iV3) c. 2Log(1 + iV3) с. d. None of these

A: Given: Log1-i32