Question

25. ( (1)left(frac{2}{3}right)^{-6} timesleft(frac{2}{3}right)^{3}=left(frac{2}{3}right)^{2 x-3} )
( Rightarrow quadleft(frac{2}{3}right)^{-6+3}=left(frac{2}{3}right)^{2 x-3} )
( Rightarrow quadleft(frac{2}{3}right)^{-3}=left(frac{2}{3}right)^{2 x-3} )
Comparing the indices absolute.
( -3=2 x-3 Rightarrow 2 x=-3+3 )
( Rightarrow quad 2 x=0 )
( Rightarrow quad x=0 )

# 25. Find the value of x in the following expression. (1) 0 (21 (3) (4)

Solution