Question

If logx = – 4, what is x?​

Answer 1

Hopes this helps:

Answer: x = 1/10000

1. Use definition of common logarithm:
b^a = x if and only if logb (x) = a.
X = 10^-4


2. Use negative power rule x^-a = 1/x^a.
X = 1/10^4


3. Simplify 10^4 to 10000.
X = 1/10000

Answer 2

solve the equation by rewriting in exponential form using the definition of a logarithm and simplifying.

Exact Form:

x= 1/10000

Decimal form:

x=0.0001