Question

Find x: (2/5) ⁻ 3x × (2/5)⁶ = (2/5) ⁻ 5x​

Answer 1

Answer:

value of x in $(2/5)^{-3x}$ X $(2/5)^6$ = $(2/5)^{-5x}$  is   -3

Step-by-step explanation:

given that :

$(2/5)^{-3x}$ X $(2/5)^6$ = $(2/5)^{-5x}$

let's solve the above equation

as bases are same in left side of above equation, add powers;

it becomes $(2/5)^{6-3x}$ = $(2/5)^{-5x}$

as bases are equal on both sides of the equation, we can also equal the powers ;

so, (6-3x) = (-5x)

rearrange,

5x - 3x = -6

2x = -6

x = -3