Solving Exponential Equations

Practice Questions

High School Math › Solving Exponential Equations

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1

The population of a certain bacteria increases exponentially according to the following equation:

$P(t)=2000e^{^{2t}}$

where P represents the total population and t represents time in minutes.

How many minutes does it take for the bacteria's population to reach 48,000?

2

$y=\frac{3x^2-5}{2x^2+7}$

What are the x-intercepts of the equation?

3

$y=\frac{x-3}{x^2-12}$

What are the y-intercepts of this equation?

4

$y=\frac{3x^2-5}{2x^2+7}$

What are the y-intercepts of the equation?

5

Solve for :

$\left (\frac{1}{4} \right) ^{x - 7} = 2^{2x +5}$

6

Solve for (nearest hundredth):

$4 ^{2x - 7} = \frac{1}{256}$

7

Solve for :

$3 ^{4x + 7} = 9 ^{2x +3}$

8

Solve for (nearest hundredth):

$80 ^{t} = 39$

9

Solve for :

10

Solve the equation for .

$\small 9^x=3^6$

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