Step-by-step explanation:
x²-11x+32=4
x²-11x+28=0
(x-4)(x-7)=0
x=4 or x=7
_______
x²+8x-5=4
x²+8x-9=0
(x+9)(x-1)=0
x=-9 or x=1
_______
x²+x+4=5x+1
x²-4x+3=0
(x-1)(x-3)=0
x=1 or x=3
________
x²+x-24=-8x-2
x²+9x-22=0
(x+11)(x-2)=0
x=-11 or x=2
Option B:
is the correct answer.
Explanation:
The exponential equation is 
If
, then 
Thus, the equation becomes

Applying log rule,
and thus the equation becomes

Since, we know that,
, using this we get,

Hence, the logarithmic equation which is equivalent to the exponential equation
is 
Thus, Option B is the correct answer.