5³x-1÷25=125 find the value of x
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Answer:
x = 2
Step-by-step explanation:
Given
5^3x -1 ÷ 25 = 125
Since , 25 = 5 × 5 = 5^2
and 125 = 5 × 5 ×5 = 5^3
Therefore given equation can be written as ,
5^3x -1 ÷ (5)^2 = (5) ^3
= (5) ^3x-1-2 = (5) ^ 3
as , a^m ÷ a ^n = (a) ^m-n
= (5) ^3x-3 = (5)^3
On comparing both sides we get ,
= 3x-3 = 3
= 3x = 6
= x = 6 ÷ 3
= x = 2
Hence , the value of x = 2 .
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