4. Logarithms: Question Types

Seite 1

Simple express in terms of log x, log y, log z questions

Observe these answers. Note that when simplifying, if the log is multiplied by anything initially, make it back as a power again.

Seite 2

Simple Calculator problems: Plug them into a calculator

Power of Questions: Just one to the power of x

Step 1: Take logs of both sides

Step 2: Bring the power down

Step 3: Divide through to isolate the x

Step 4: Divide by any coefficient of x

Seite 3

Power of x Questions: Two powers of x:

Step 1: Make the base and the power of one x equal to y

Step 2: Solve the quadratic equation and come to two values for y.

Step 3: Replace y