Question

Fill in the black with full solution solved​

Answer 1

2^x + 2^x + 2^x = 192

=> 3(2^x) =192

=> 2^ x = 192/3

Since 192/3 equals 64

=> 2^x =64

BY PRIME FACTORISATION

64 = 2 * 2 * 2 * 2 * 2 * 2 , So it can be written as 2^6.

=> 2^x = 2^6

By laws of exponents, If a^m = a^n, then m = n.  

Hence, We get x=6

So, => 2^3x-18 = 2^3*6-18= 2^18-18 = 2^0 = 1

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