SOLUTION: Dear Sir/Madam, Please help me with this question, Solve {{{2^(2x) - 3^(2y) = 55}}} for x and y are integers. Thank you very much!

Algebra.Com
Question 895150: Dear Sir/Madam,
Please help me with this question,
Solve for x and y are integers.

Thank you very much!

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!






So some power of 4 minus some power of 9 equals 55.

Some powers of 4 are 



Some powers of 9 are 



It only takes a little while to look through those, ignoring the huge
ones, and to see that 64-9 = 55



So x=3, y=1

Edwin

RELATED QUESTIONS

Dear Sir/Madam; Kindly help me with this logarithmic problem Given zx = y2x ,... (answered by Alan3354)
Dear Sir/Madam; A pleasant day! Please help me with this problem involving Division (answered by josh_jordan)
Dear Sir/Madam, Please help me with this math problem. If(logax) (logbx) = logab,... (answered by Fombitz)
Dear Sir/Madam, Please help me solve this problem: Show that (1-sinA+cosA)^2 =... (answered by MathLover1)
Dear Sir/Madam, Please help me with this logarithm problem. If log2a + logbb... (answered by Theo)
DEar Sir/Madam, Please help me in solving this problem, I am not much familiar with... (answered by solver91311)
Dear Sir/Madam; Please help me with this logarithmic problem, this is something new... (answered by Alan3354)
Dear Sir/Madam, A pleasant day! Please help me with this problem on quadratic equation: (answered by Alan3354,josgarithmetic)
Dear Sir/Madam; Good day! Can you please help me with this question about... (answered by Fombitz)