## Questions and Answers for Exponential Growth

Exponential Growth

### Write the equation a = bc in logarithmic form.

It is given that a = b*c. Take the logarithm to any base B of both the sides. `log_B a = log_B(b*c)` Use the property `log_B a*b = log_B a + log_B b` => `log_B a = log_B b + log_B c` The...

Exponential Growth

### Solve for x: 5^x=4

You are not allowed to ask multiple questions in a single post. Here is the solution to `5^x = 4` `5^x = 4` take the logarithm of both the sides and use the logarithmic property `log(a^b) = b*log...

Exponential Growth

### The bacteria in a culture grows according to the model ``N=6582.8(1.1769)^t` `, where t is time in hours. How many...

Since you are given the model for the number of bacteria, N, present in the culture and know that the amount of time, t, of interest is 9 hours, substitute 9 into the model for t and calculate:...