Question

plz fast answer me... ​

Answer 1

Answer:

LHS becomes (3/2)^5

Therefore, 2x + 1 = 5

Implies x = 2

Answer 2

Step-by-step explanation:

if (2/3) ^-13 ×(3/2) ^8=

(2/3)^-2x+1

to find out the value of x=

we know that,(a/b) ^m=(b/a)^-m

hence,

(3/2)^8=(2/3)^-8

so, the given equation becomes

(2/3)^-13×(2/3)^-8=(2/3)^-2x+1

we also know that,a^m×a^n=a^(m+n)

hence,

(2/3)^-13-8=(2/3)^-2x+1

(2/3)^21=(2/3)^2x+1

so,

-21=-2x+1

=>2x=1+21

=>2x=22

=>x=22/2

x=11

hence, the solution of the given equation is x=11