Question

Hello :) why is the first one wrong?

Answer 1

see explanation

Explanation:

Given

`log_(5)` 2x³

=
`log_(5)` 2 +
`log_(5)` x³

=
`log_(5)` 2 + 3
`log_(5)` x

Answer 2

The cube only belongs to the x and not 2x.

The statement will only be true if there is a bracket around the 2x.

log₃(2x)³= 3log₃2x

logarithm power rule:

logₐ(x)^y = y ∙ logₐ(x)