How do you simplify $10^{log \sqrt{x}}$ $10^(log sqrt x )$ ?

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Answer 1 · 2016-08-30T10:48:24

$\sqrt{x}$ $sqrtx$
(Assuming $log = {log}_{10}$ $log = log_10$ )

Consider: $a = 10^{b} \to {log}_{10} a = b$ $a=10^b -> log_10 a =b$

In this example: $y = 10^{{log}_{10} \sqrt{x}}$ $y = 10^(log_10sqrtx)$

So, $a = y$ $a=y$ and $b = {log}_{10} \sqrt{x}$ $b=log_10 sqrtx$ in this case

$:. log_10 y = log_10 sqrt(x)$

Hence $y=sqrtx$

How do you simplify 10^(log sqrt x )10log√x10^(log sqrt x )?