solve x and y:
open parentheses 25 close parentheses to the power of x equals 5 to the power of y minus 1 end exponent space a n d space open parentheses 32 close parentheses to the power of y equals 4 cross times 8 to the power of x

Asked by Neeru | 1st May, 2016, 01:37: PM

Expert Answer:

C o n s i d e r space t h e space g i v e n space e q u a t i o n s colon
open parentheses 25 close parentheses to the power of x equals 5 to the power of y minus 1 end exponent space a n d space open parentheses 32 close parentheses to the power of y equals 4 cross times 8 to the power of x
rightwards double arrow open parentheses 5 squared close parentheses to the power of x equals 5 to the power of y minus 1 end exponent space a n d space open parentheses 2 to the power of 5 close parentheses to the power of y equals 2 squared cross times open parentheses 2 cubed close parentheses to the power of x
rightwards double arrow 5 to the power of 2 x end exponent equals 5 to the power of y minus 1 end exponent space a n d space 2 to the power of 5 y end exponent equals 2 squared cross times open parentheses 2 to the power of 3 x end exponent close parentheses
rightwards double arrow 5 to the power of 2 x end exponent equals 5 to the power of y minus 1 end exponent space a n d space 2 to the power of 5 y end exponent equals 2 to the power of 2 plus 3 x end exponent
rightwards double arrow 2 x equals y minus 1 space a n d space 5 y equals 2 plus 3 x
S o l v i n g space t h e space a b o v e space s y s t e m space o f space e q u a t i o n s space w e space h a v e comma
x equals fraction numerator negative 3 over denominator 7 end fraction space a n d space y equals 1 over 7

Answered by Vimala | 2nd May, 2016, 10:13: AM