How do solve 4logx = 24.8?

1 Answer
Aug 29, 2015

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

Explanation:

4log(x) = 24.8
rarrcolor(white)("XXX")log(x)= 24.8/4 = 6.2

In general
color(white)("XXX")log_b(x)=ycolor(white)("XXX")"means"color(white)("XXX")b^y=x

So
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)
color(white)("XXX")x=1584893