Question

if (7^a)(7^b) = 7^c/7^d, what is d in terms of a,b, and c?
a. c/ab b. c-a-b c. a+b-c d. c-ab e. c/a+b

Answer 1

\[\large 7^a \cdot 7^b = \frac{7^c}{7^d} \implies 7^{a+b} = 7^{c-d}\]

So:

\[a + b = c - d\]


\(d = c - a - b\)