Logarithmic Equations

logarithmic equations

By Diana Rodriguez

Rewrite in exponential form

​Example: log₄(x+3)=2

Check your teacher's board​

Some text here about the topic of discussion

Multiple Choice

$$\log_2\left(x-4\right)=3$$  

• 8

• 12

• 4

• 2

Example 2: Solve 3ln(2x)=12, check your teacher's board

Some text here about the topic of discussion

Multiple Choice

Solve 4ln(3x)=8

• 3

• e³/2

• e²/3

• 2

Remember: Logarithmic expressions are defined only for logarithmic of positive real numbers. always check proposed solutions of a logarithmic equation in the original equation. Exclude from the solution set any proposed solution that produces the logarithm of a negative number or the logarithm of 0.​

Example 3: Solve log₂x+log₂(x-7)=3, check your teacher's board

Some text here about the topic of discussion

Multiple Choice

Solve log x + log (x-3)=1

• 5,-3

• 3

• 5

• -5