Intervals, extrema and behavior

Which logarithmic equation is equivalent to the exponential equation below? e^a=55(you will receive 34 points)

Jenisey has $24 to spend on seven pencils. after buying them she had $10. how much did each pencil cost.?

Atype of plant is introduced into an ecosystem and quickly begins to take over. a scientist counts the number of plants after mmonths and develops the equation p(m)= 19.3(1.089)^m to model the situation. most recently, the scientist counted 138 plants. assuming there are no limiting factors to the growth of the plants, about how many months have passed since the plants werefirst introduced? a)o 6.1b)0.6.6c)10 72d)o 23.1