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sgwriadaufa24r

sgwriadaufa24r

Answered question

2022-06-01

Find smallest positive integer solution of x for a x b
a R , 0 < a < 1.
b R , 0 < b < 1.
x N .
Let a x b
How can I find smallest positive integer solution of x for given a and b?

Answer & Explanation

Ramiro Frye

Ramiro Frye

Beginner2022-06-02Added 5 answers

Equality holds if x = log a ( b ) = ln ( b ) ln ( a ) . When x gets larger, a x becomes smaller, so you want the smallest integer larger than that:
x = ln ( b ) ln ( a )

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