How do you simplify $5^(log_5x)$ ?

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Answer 1 · 2017-02-13T11:34:15

See below.

Make $y = 5^(log_5x)$

Apply $log_5$ to both sides

$log_5y=log_5xlog_5 5=log_5x cdot 1=log_5 x$

Now $log_5y=log_5x->y=x$ so

$5^(log_5x)=x$

How do you simplify 5^(log_5x)5^(log_5x)?