# Exponential Growth

## Exponential Growth Study Guide: Homework Help

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 given relation is equivalent to `log_B a = log_B b + log_B c`

Read More »

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 a` `log(5^x) = log 4` => `x*log 5 = log 4` => `x = (log 4)/(log 5)` The solution of `5^x...

Read More »

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

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: `N=6582.8(1.1769)^9=28514.563...` Therefore, the answer is D) 28,514 bacteria.

Read More »