Question

in what base b is the equation 53*15 = 732 valid? All three of the numbers in the equation are base b, and b E z.

Answer 1

B^53 B^15 = B^732 ??

B^68 = B^732 doesnt make sense...

Answer 2

B=1 if anthing :)

Answer 3

if b is the base, then
\[53 = 5 \times b ^{1}+3 \times b ^{0}\]

Answer 4

\[15 = 1 \times b ^{1} + 5 b ^{0}\]

Answer 5

\[732 = 7 \times b ^{2}+3 \times b ^{1} + 2 \times b ^{0}\]

Answer 6

equate the two. ie,
(5b+3)(b+5) = 7b^2+3b +2
solve for b

Answer 7

Im Hotep55's answer is incorrect., b cannot be 1.

Answer 8

aii thx

Answer 9

np