Use Logarithms To Solve Exponential Equations and Inequalities

Practice Questions

Pre-Calculus › Use Logarithms To Solve Exponential Equations and Inequalities

Questions

10

1

Simplify the log expression:

2

Solving an exponential equation.

Solve for ,

$5^{x}=250$ .

3

Solve the equation for using the rules of logarithms.

$\ln(17x)+\ln\left(\frac{x}{3}\right)+\log_3(x^2)=4$

4

Solve

$\frac{e^{x^2-2}}{e^{3x}}=e^{2x-6}$ .

5

Solve for x in the following equation: $3^{5x-3}=9^{2x}$

6

Solve the following equation:

7

Solve for x: $\log_{4}(3x-2)=2$

8

Solve for x using the rules of logarithms: $\log_{3}2x-\log_{3}(x-3)=1$

9

Solve for x:

10

Solving an exponential equation.

Solve

$10^{3x}=100$

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