Question

Which of the following is the solution of log (x + 5)0.001 = -3. (x+5)^-3=0.001. where would i go from here?

Answer 1

note that
\[0.001=10^{-3}\]

Answer 2

making \(x+5=10\)

Answer 3

how did you get to x+5=10

Answer 4

i could rewrite it as (x+5)^-3=10^-2? how do i get rid of the exponents though

Answer 5

\[(x+5)^{-3}=10^{-3}\iff x+5=10\]

Answer 6

but one has an exponent of -3 and the other has -2? do do htye cancel?

Answer 7

\(0.001=10^{-3}\) not \(10^{-2}\)
\[10^{-2}=0.01\]

Answer 8

oh i see thank you. that makes sense