Rewrite the equation in logarithmic form. 20^-1=0.0025

log20^0.0025 = -1

Step-by-step explanation:

BEN - BASE

- EXPONENT

- NUMBER

approximately 0.2 days

Step-by-step explanation:

Flow is defined as:

Q = V/t

where Q is flow, V is volume, and t is time

Let's call Vr to the volume of the reservoir, then for the first channel:

Q1 = Vr/t1

Replacing with t1 = 1/3 of day:

Q1 = Vr/(1/3) = 3*Vr

Similarly, or the other channels:

Q2 = Vr/1 = Vr

Q3 = Vr/(2 1/2) = 2/5*Vr

Q4 = Vr/3

Q5 = Vr/5

When all channels are open, the time needed to fill the reservoir is:

Vr = t*(Q1 + Q2 + Q3+ Q4 + Q5)

Replacing with the previous equivalences:

Vr = t*(3*Vr + Vr + 2/5*Vr+ Vr/3 + Vr/5)

Vr = t*4.93*Vr

1/4.93 = t

0.2 = t