🎯 Mixed Revision
Choose the correct law, show each step and keep final indices positive unless instructed otherwise.
Part A: Indices
- Simplify a 6 a −2 .
- Simplify (2x 3 ) 2 .
- Evaluate 125 2/3 .
- Solve 4 x+1 =64 .
Part B: Logarithms
- Evaluate log 4 64 .
- Expand log 2 (8x/y 2 ) .
- Condense 2log 5 a−log 5 b .
- Solve log 3 (2x−1)=2 .
Quick Check
Which expression equals x −3 ?
Answers
Show all answers
- a 4
- 4x 6
- 25
- x=2
- 3
- 3+log 2 x−2log 2 y
- log 5 (a 2 /b)
- x=5
Revision Guidance and Readiness
- Attempt the questions without notes first.
- Use the answers or worked solutions to identify the exact step that needs attention.
- Return to the relevant lesson, then retry missed questions.
- You are ready to move on when you can explain your method and check your result independently.