Question

Please help I'll give a medal (: Ill post it below (:

Answer 1

Solve the logarithmic equation by using properties of logs. Round to the nearest thousandth if necessary. \[\log X + \log 4 = -2\]

Answer 2

well start by using the log law

\[\log(ab) = \log(a) + \log(b)\]

so you are now looking at

\[\log(4x) = -2\]

next raise each side of the equation as a power of 10.

the log law is

\[a^{\log_{a}(b)} = b\]

so

\[10^{\log(4x)}= 10^{-2}\]

or

\[4x = 10^{-2}\]

now just solve for x

Answer 3

Thank you! (:

Answer 4

wait i got .0025 and thats not one of the answers

Answer 5

what about 1/400