Question

1. 4^x + 4^x+4 = 4^18

find the value of x in this question














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Answer 1

Answer:

x=11 1/3 [A mixed fraction]

Step-by-step explanation:

4^x+4^x+4=4^18

8^x+2^2={(2^2)^18}[4^x+4^x=8^x]

                               [4=2^2]

(2^3)^x+2^2=2^2*18[8=2^3]

2^3*x+2^2=2*36

3x+2=36[They have the same base '2' and hence we can equate the powers]

3x=36-2[Transpose 2 to the other side]

3x=34

x=34/3[3 is transposed to the other side]

x=11 1/3[It is a mixed fraction].

My answer maybe correct.