Question

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Answer 1

Answer: (b.) k = 11

              (c.) k = 3

              (d.) k = 12

Step-by-step explanation:

b.)  $3^{k}*9=3^{13}$

$3^{k} *3^{2} =3^{13} \\3^{k+2} =3^{13} \\k+2=13\\k=11$

c.)  $2^{5} *2^{k} =256$

$2^{k+5} =2^{8} \\k+5=8\\k=3$

d.) $\frac{(\frac{2}{3})^{15}}{(\frac{2}{3})^{k}} = \frac{8}{27}$

$(\frac{2}{3} )^{15-k} =(\frac{2}{3}) ^{3} \\15-k=3\\k=12$

Answer 2

Answer:answer in attachment

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