Question

(2Q) The graph of the logarithmic function y = loga(x) always passes through what point?

Answer 1

option D

(1,0)

Explanation:

Given in the question an expression

y =
`log_(a)x`

This function's graph will always pass through x-axis where y will always be 0

y =
`log_(a)x`

0 =
`log_(a)x`

This situation is only possible when x = 1

0 =
`log_(a)1`

Secondly, x can never be zero

As,

`y = log_(a)0` is undefined

so this eliminate option (A) and (C)

Answer 2

(1,0)

Explanation:

The given logarithmic function is

`y=\log_ax`

When
`x=1`, the logarithmic function becomes;

`y=\log_a1`

`\Rightarrow y=\log_aa^0`

`\Rightarrow y=0(\log_aa)`

`\Rightarrow y=0(1)`

`\Rightarrow y=0`

Therefore the graph always passes through;

`(1,0)`