Question

If 27 2x-1= (243)3,then find the value of (-5)2x-3

Answer 1

Answer:

We can express both sides in terms of 3.

27 = 33

243 = 35

Hence, the equation becomes:

33(2x - 1) = 35(3)

36x - 3 = 315

from indices, since both sides have same number. i.e 3, we just evaluate the power. That is,

6x - 3 = 15

add 3 to both sides,

6x - 3 + 3 = 15 + 3

6x = 18

divide both sides by 6

x = 18/6

x = 3