Question

Which expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a. 1 and b.

1?
log,
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logna
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log,
log,b
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Answer 1

Answer:it’s A

Step-by-step explanation: I took the quiz

Answer 2

The required "option A)
`(\log_(b)x)/(\log_(b)a)`" is correct.

Explanation:

We have,

`\log _(a)x`

To find, the value of
`\log _(a)x` = ?

∴
`\log _(a)x` , where a, b and x are positive

a ≠ 1 and b ≠ 1

We know that,

The logarithm identity,

`\log_(p)m=(\log_(y)m)/(\log_(y)p)`

∴
`\log _(a)x` =
`(\log_(b)x)/(\log_(b)a)`

Where, b is the common base of logarithm

∴ The value of
`\log _(a)x` =
`(\log_(b)x)/(\log_(b)a)`

Thus, the required option A)
`(\log_(b)x)/(\log_(b)a)` is correct.