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4 votes
Solve for x.
logg x=-2
Simplify your answer as much as possible.

User Ratmalwer
by
8.9k points

1 Answer

3 votes

Explanation:

I guess "logg" is a typo.

otherwise we would have 2 variables in one equation (log to the base of g of x), for which there would be infinitely many solutions.

so, I assume it is actually

log(x) = -2

that is short for

log10(x) = -2

even though many programming libraries on computers actually mean ln(x) when providing the function log(x).

so, log(x) means actually log10(x) is my second assumption.

and then

log10(x) = -2

gets solved by putting everything to the power of the logarithm base :

x = 10^-2 = 1/10² = 1/100 = 0.01

if another base has to be used, then 10 has to be replaced by that other base. the principle always stays the same.

User Nika
by
8.5k points
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