Logarithms (2) Laws of logarithms.

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Presentation transcript:

Logarithms (2) Laws of logarithms

Activity 1 a + b = c Log28 + log216 = log2 (8 x 16) Find a, b and c Log28 = a Log216 = b Log2128 = c How are a, b and c related? Write in the form 2a x 2b = 2c a + b = c Log28 + log216 = log2 (8 x 16)

Laws of logarithms The following laws can be shown using our laws of indices

Examples Write the following using a single logarithm:

Activity 2 WE MUST BE ABLE TO REPRODUCE THE PROOF OF EACH OF THE THREE LAWS OF LOGARITHMS. ONE of the three WILL be examined at C2