Question

Find the value of x , if (3/8)^14 * (3/8)^-9 =(3/8)^(2x-1)

Answer 1

Hope it will help you

Answer 2

Answer:

x=3

Step-by-step explanation:

(3/8)^14*(3/8)^-9

= ((3/8)^14/(3/8)^9)=(3/8)^5

[formula a^(p-q)=a^p/a^q

a^-p=1/a^p]

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

(3/8)^5=(3/8)^2x/(3/8) [ Formula

( 3/8)×(3/8)^5=(3/8)^2x a^e×a^d=a^(e+d)

(3/8)^6=(3/8)^2x a^x=a^e

2x=6 x=e]

x= 3