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In this lesson, I show you how to find the value of a logarithm and simplify logarithmic expressions without using a calculator. We do this step by step by converting logarithms into their exponential form. A couple of tips when starting out with logs: make sure you’re comfortable with the rules of indices - they make this topic much easier to understand. Also, when working with logarithms, try to keep powers as improper fractions, as they’re much easier to work with than mixed numbers or decimals. ⏱ Jump to a specific question using the timestamps below: 01:44 Question 1: log₁₀1000 02:58 Question 2: log₂32 03:40 Question 3: log₅5 04:26 Question 4: log₃(1/9) 05:33 Question 5: log₅(5√5) 06:56 Question 6: log₇(∛7/7)² 09:08 Question 7: Simplify logᵪ (x²/√x)³ 11:20 Question 8: Try it yourself - Simplify logᵪ (x/∛x) (answer: 2/3) I hope you find this lesson helpful! Stay tuned for the next video in this series: The Laws of Logarithms. Subscribe to keep up to date with new uploads, and follow me on Instagram @themathsprof for more maths content! 😊