Simple Logarithmic Question I have the following equation: log(S_n)=log(u)[2T−n] I was just wondering how S_n = u^(2T-n) is then obtained? Thank You

Tamara Anthony

Tamara Anthony

Open question

2022-08-19

Simple Logarithmic Question
I have the following equation:
log ( S n ) = log ( u ) [ 2 T n ]
I was just wondering how S n = u 2 T n is then obtained?
Thank You

Answer & Explanation

historia075c

historia075c

Beginner2022-08-20Added 6 answers

By taking the exponential of both sides. Recall that e a ln b = b a
Jamarcus Schroeder

Jamarcus Schroeder

Beginner2022-08-21Added 1 answers

You can also use the fact that a × log x = log ( x a ) which means that
log ( u ) [ 2 T n ] = [ 2 T n ] × log ( u ) = log ( u [ 2 T n ] ) = log S n S n = u [ 2 T n ]

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