Question

Solve log11 (y + 8) + log11 4 = log11 60. what is y?

Answer 1

y = 7 You have to condense the left side using properties of logs.

Answer 2

The value of y is 7.

Explanation:

The given equation is

`log_(11)(y+8)+log_(11)4=log_(11)60`

`log_(11)[(y+8)4]=log_(11)60`
`[\because log_ax+log_ay=log_axy]`

`log_(11)(4y+32)=log_(11)60`

Equating both sides.

`4y+32=60`

`4y=60-32`

`4y=28`

Divide both sides by 4.

`y=7`

Therefore the value of y is 7.