Question

solve for x,
a) 6*2^x= 192
b) 4*(1/3)^x=324

Answer 1

a) 6*2^x= 192
divide both sides by 6
2^x = 32
2^x = 2^5
Since LHS = RHS and the bases are same (i.e.) 2, hence for equality the powers also have to be same

therefore x = 5