5^{x} + 5^{x-1} = 100
Find x
Answers
Answered by
3
5^x + 5 ^x * 5^-1 = 100
let 5^x be y
y + y*5^-1 = 100
y + y /5 = 100
5y + y /5 = 100 ( LCM= 5)
6y = 500
y = 500 / 6 ans.
let 5^x be y
y + y*5^-1 = 100
y + y /5 = 100
5y + y /5 = 100 ( LCM= 5)
6y = 500
y = 500 / 6 ans.
Answered by
7
Answer:
Step-by-step explanation:
5^x-5^x+1=100
5^x(1-1/5)=100
5^x(4/5)=100
5^x=100*5/4
5^x=125
5^x=5^3
Therefore. x=3
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