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