Question

Can someone tell me what the value of these logarithms are:

Answer 1

4 and 4

Explanation:

using the rule of logarithms

`log_(b)` x = n ⇒ x =
`b^(n)`

(a)

let
`log_(3)` (81) = n , then

81 =
`3^(n)` =
`3^(4)` with n = 4

then
`log_(3)` (81) = 4

(b)

note that log(10,000) =
`log_(10)` (10,000)

let
`log_(10)` (10,000) = n , then

10,000 =
`10^(n)` =
`10^(4)` with n = 4

then log(10,000) = 4