log(8x+3)=64

Solve and please explain the steps to solve by hand
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1 Answer

The question doesn't state the base of the logarithm, so I will initially assume it's base 10.

log10(8x+3)=64,

8x+3=1064,

8x=1064-3. 1064 is a very large number indeed and 3 is negligibly small so x is approximately 1064/8=(10/8)×1063=1.25×1063. Actual solution would be x=1,249,999...999.625. There are 61 nines in this number. Written out completely:

1,249,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999.625.

by Top Rated User (1.1m points)

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