Question

14. If 2exponent+ 3exponent y = 17 and (2 to the power x+2 )- 3 to the power y+1 = 5, then
y=
(1) 2
(2) 3
(3) 1
(4) 7​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

2^x+3^y=17..... (1)

We know that

17= 8+9

8=2^3+3^2.......(2)

Comparing (1) and (2)

we get,

x+y=5.... (3)

Adding more to it

2^x+2-3^y+1=5

5=9-4

9=3^2

4=2^2

Comparing both again

we get,

x-y=-1.... (4)

Solving (3) and (4)

we get,

x=4

y=3

Look I'm not sure but I guess it's correct. Go check for the answers and let me know if it's right.

Thanks.