7^x * 3^2 = 504 Find 7^(x+2) =?

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26 Apr 2017 Root and Power

7^x * 3^2 = 504
Find 7^(x+2) =?

OPtion

1) 2144
2) 2800
3) 2695
4) 2714
5) 2344
6) 2844
7) 2944
8) 2774
9) 2644
10) None of these

Solution

7^x * 3^2 = 504
7^x = 504/9 = 56

7^(x+2) = (7^x) * (7^2) = 56*7^2 = 56*49 = 2744

Correct Option: 10 Best Solution (11)

G.S.Kantharao   7 years AGO

7^x*3^2=504
7^x=504/9=56
7^(x+2)=7^x*7^2=56*49=2744
Hence my choice is 10.

Like? Yes (4) | No (1)  

Pargat Pal Singh   7 years AGO

7^x*3^2=504
7^x= 504/9=56
7^(x+2)= 7^x * 7^2= 56*49=2744.. none of these

Like? Yes (2) | No (2)  

Mukund Manohar   7 years AGO

7^x = 504/9
=> 7^x = 56
Now, 7^(x+2) = 7^x * 7^2 = 56 * 49 = 2744

Like? Yes | No (1)  

jyothi chhabria   7 years AGO

7^x=504÷9
7^x=56
7^(x+2)=7^x*7^2
56×49=2744

Like? Yes | No (1)  

Vahira Bollina   7 years AGO

7^((x+2)+(-2)) * 3^2=504
7^(x+2) 7^(-2) * 3^2=504
7^(x+2) (1/7^2) * 9=504
7^(x+2)=(504*49)/9
7^(x+2)=2744

Like? Yes | No (1)  

Bupathikavya   7 years AGO

Given 7^x * 3^2 = 504
7^x = 56
7^(x+2) = 7^x * 7^2 = 56 * 49 = 2744

Like? Yes | No (1)  

Vittesh   7 years AGO

7^x*9= 504
7^x = 56
7^[x+2] = 7^x *49 = 56*49 = 2744

Like? Yes | No (1)  

vaibhav patil   7 years AGO

7^x * 9 = 504
so 7^x = 504/9= 56
7^(x+2) = 7^x*7^2 = 56*49= 2744

Like? Yes | No (1)  

MOHIT KUMAR   7 years AGO

because after solving
7^x =56
so
7^(x+2)=7^x *7^2
56*49=2744

Like? Yes | No (1)  

vimal tiwari   7 years AGO

7^x * 9 = 504

x= log56/log7 = 0.2

7^(0.2+2) = 72

Like? Yes (1) | No (2)  

kalyani mamidi   7 years AGO

7^X=56 then ln on both side we get x = 2.0689 then 7^(X+2)=2745.48

Like? Yes | No (2)