How do you find the value of x if ${log}_{x} 6 = 0.5$ $log_x 6 = 0.5$ ?

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How do you find the value of x if ${log}_{x} 6 = 0.5$ $log_x 6 = 0.5$ ?

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Answer 1 · 2015-05-08T18:23:25

Use the definition of logarithm as ${log}_{b} a = x \to b^{x} = a$ $log_ba=x ->b^x=a$
So:
$6 = x^{0.5}$ $6=x^0.5$
or
$6 = \sqrt{x}$ $6=sqrt(x)$
squaring both sides:
$x = 6^{2} = 36$ $x=6^2=36$

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How do you find the value of x if ${log}_{x} 6 = 0.5$ $log_x 6 = 0.5$ ?

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