Question

√5√5√5√5..... .(125)^x-1 then x=?​

Answer 1

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Answer 2

Answer:

x = 4/3

Step-by-step explanation:

Let √5√5√5√5.... = a

-> √5a = a

Squaring both sides

5a = a^2

Solving we get a = 5

also, a = 125^x-1 or a= 5^3x-3

-> 5^1 = 5^3x-3

Equating powers on both sides

1= 3x-3 => x = 4/3