Please help me sole this:a) 9x+1 = 27^2x?

Question

b)16^y = 64^2y - 1

c)36^t-2 = 216^-2t

d)8^2x-1 = 16^x-1

Thank you

Answer 1

a is a trick question - x = 0 - but you should always recognize special cases like this.

c & d are easy - take the log of both sides

b is the hardest, but not by much once you remember that 16 = 4^2 and 64 = 4^3. Converting both exponent terms to powers of 4, merging them, and taking the log of both sides should work.