Question

Evaluate each of the following logarithmic expressions, approximating to four decimal places if necessary. Use the

LN or LOG key on your calculator rather than a table.
log8(16)

Answer 1

log₈(16) = 1.3333

Explanation:

Data to be solved:

log₈(16)

Now,

we have the properties of log function as:

1 ) logₓ(y) =
`(\log(y))/(\log(x))`

and,

2) log(aᵇ) = b × log(a)

using the property (1), we get

log₈(16) =
`(\log(16))/(\log(8))`

or

=
`(\log(2^4))/(\log(2^3))`

Now, using the property 2, we get

=
`(4\log(2))/(3\log(2))`

or

=
`(4))/(3)`

= 1.3333