Question

If (2^3)2 = 4^x, then 3^x =?


​

Answer 1

Answer:

9

Step-by-step explanation:

(2^3)2 = 4^x

=> (2*2*2)2=4^x

=> 2^4=(2*2)^x

=> 2^4=2^2x

equating the powers on both sides, as they have the same bases

4=2x

or, 2x=4

=> x=4÷2

=> x=2

Now, 3^x= 3^2= 3*3=9

Answer 2

Answer:

3^x=9

Step-by-step explanation:

if,

(2^3)2=4^x

then,

2^3=8

therefore,

(8)2=4^x

16=4^x

taking square root on both sides

4=√4^x

therefore by laws of indices

4^(x×1/2)=4

but

4^1=4,

hence

4^1=4^(x×1/2)

thus

1=x×1/2

x=1×2

x=2

hence

3^x=3^2

3^2=3×3

3^2=9

therefore

3^x=9