Question

solve for x :- 2^x = (1/32)^-3​

Answer 1

Answer :-

As given :-

2ˣ = (1/32)⁻³

Solution :-

As 32 = 2⁵

=> 2ˣ = (1/2⁵)⁻³

=> 2ˣ = (1/2)⁻¹⁵

As x⁻ⁿ = 1/xⁿ

=> (1/2)⁻¹⁵ = 1/(1/2)¹⁵

=> (1/2)⁻¹⁵ = 2¹⁵

Now as (1/2)⁻¹⁵ = 2¹⁵

Then

=> 2ˣ = 2¹⁵

Then as bases are Same

=> x = 15

So Value of x = 15

Answer 2

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