Question

Simplify log10 2.25 +4 log10 2-2 log10 0.6

Answer 1

2

Explanation:

using the rules of logarithms

• logx + logy = log(xy)

• logx - logy = log (
`(x)/(y)` )

• log
`x^(n)` = nlogx

given

`log_(10)` 2.25 + 4
`log_(10)` 2 - 2
`log_(10)` 0.6

=
`log_(10)` 2.25 +
`log_(10)`
`2^(4)` -
`log_(10)`
`0.6^(2)`

=
`log_(10)` 2.25 +
`log_(10)` 16 -
`log_(10)` 0.36

=
`log_(10)` (
`(2.25(16))/(0.36)` )

=
`log_(10)` 100

= 2