Question

18 144 7. If a = log12;b = log84, then (ab) ? 8 (ab)2 - = = 1 is 4 9​

Answer 1

Step-by-step explanation:

a=log218log212=1+2log322+log32−(1)

b=log5424

b=log542log242=1+3log323+log32−(2)

From equation 1

2a+at=1+2t

2a−1=(2−a)t

t=2a−12−a−(a)

3a+bt=1+3t

3b−1=t(3−b)

t=3b−13−b−(b)

From a and b

2a−12−a=3b−13−b

6a−2ab−33+b=6b−2−3ab+b

6a−2ab+b−6b+3ab−a=3−2

ab+5a−5b=1

ab+5(a−b)=1.