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How do solve $4 log x = 24.8$ $4logx = 24.8$ ?

1 Answer

Aug 29, 2015

Assuming your $log$ $log$ is base 10:
$4 log (x) = 24.8 XXX \Rightarrow XXX x = 1584893$ $4log(x) = 24.8 color(white)("XXX")rArrcolor(white)"XXX"x=1584893$

Explanation:

$4 log (x) = 24.8$ $4log(x) = 24.8$
$\to XXX log (x) = \frac{24.8}{4} = 6.2$ $rarrcolor(white)("XXX")log(x)= 24.8/4 = 6.2$

In general
$XXX {log}_{b} (x) = y XXX means XXX b^{y} = x$ $color(white)("XXX")log_b(x)=ycolor(white)("XXX")"means"color(white)("XXX")b^y=x$

So
$XXX {log}_{10} (x) = 6.2 XXX means XXX 10^{6.2} = x$ $color(white)("XXX")log_10(x)=6.2color(white)("XXX")"means"color(white)("XXX")10^(6.2) =x$
and (with the aid of a calculator)
$XXX x = 1584893$ $color(white)("XXX")x=1584893$

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