Solve Exponential Equations

Practice Questions

Pre-Calculus › Solve Exponential Equations

Questions

7

1

Solve: $6\mathrm{e}^{4x}-16=8$

2

Solve for .

$2e^5e^{-3}\ln(e^x)=2x^2$

3

Solve the equation for .

$2e^{2x}-7e^{x}+6=0$

4

The population of fish in a pond is modeled by the exponential function

$y=1046e^{-0.1t}$ , where is the population of fish and is the number of years since January 2010.

Determine the population of fish in January 2010 and January 2015.

5

Solve an exponential equation.

Solve for .

$e^{3x+2}=\frac{3e^{5x}}{e^{4}}$

6

Solve for using properties of exponents.

$3^{4x}=27^7$

7

Solve an equation involving exponents and logarithms.

Solve for .

$e^{-3}e^{2}lne^{e}=e^{x}$

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