Question

`log 8/log 4` = ______

विकल्प

• log 2

• 2

• `3/2`

• `2^(3//2)`

Answer 1

`log 8/log 4` = `underlinebb(3/2)`

Explanation:

`log 8/log 4`

Step 1: Express 8 and 4 as powers of 2:

⇒ 8 = 2³

log 8 = log(2³)

log 8 = 3 log 2

⇒ 4 = 2²

log 4 = log(2²)

log 4 = 2 log 2

Step 2: Simplify the expression:

∴ `log8/log4`

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

= `3/2`