EXPONENTIALS B2

 

If 4¹⁰ = 32^a-2; find a

Solution

4¹⁰ = 32^a-2 

(2²)¹⁰ = (2⁵)^a-2 

2²⁰ = 2^5(a-2) 

2²⁰ = 2^5a-10

2²⁰ = 2^5a-10  [Same bases both sides cancels out]

20 = 5a – 10

20 + 10 = 5a

30 = 5a

30 = 5a

5      5

 

6 = a

Hence a=6

 

TRY THIS……………………….

 

If 4³ = 64^a-2; find a