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How do you solve $log x = 1.8$ $log x = 1.8$ ?

1 Answer

Nov 29, 2015

$x = 10^{1.8} \approx 63.096$ $x= 10^(1.8) ~~63.096$

Explanation:

$log x$ $log x$ means ${log}_{10} x$ $log_10 x$

By definition
$XXX {log}_{b} p = q$ $color(white)("XXX")log_b p = q$
is equivalent to
$XXX p = b^{q}$ $color(white)("XXX")p=b^q$

Therefore
$XXX {log}_{10} x = 1.8$ $color(white)("XXX")log_10 x = 1.8$
is equivalent to
$XXX x = 10^{1.8}$ $color(white)("XXX")x= 10^(1.8)$
(which can be evaluated using a calculator as approximately $63.096$ $63.096$ )

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