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How do you solve $3 log x = 1.5$ $3 log x=1.5$ ?

1 Answer

Dec 21, 2015

$x = \sqrt{10}$ $x=sqrt(10)$

Explanation:

$3 log (x) = log (x^{3})$ $3log(x) = log(x^3)$

$10^{log (x^{3})} = x^{3}$ $10^(log(x^3)) = x^3$

So if $3 log (x) = 1.5$ $3log(x) = 1.5$
then
$XXX x^{3} = 10^{1.5} = 10^{0.5} \times 10^{0.5} \times 10^{05}$ $color(white)("XXX")x^3= 10^(1.5) = 10^(0.5)xx10^(0.5)xx10^(05)$

$XXX \to x = 10^{0.5} = \sqrt{10}$ $color(white)("XXX")rarr x= 10^(0.5) = sqrt(10)$

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