The answer to exponential questions. How many times do I need to multiply 1 by 2 to get 64? Try this on your calculator and write an equation that gives.

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Presentation transcript:

The answer to exponential questions

How many times do I need to multiply 1 by 2 to get 64? Try this on your calculator and write an equation that gives the answer. We will compare answers afterwards.

How many times do I need to multiply 1 by 2 to get 128 Try this on your calculator and write an equation that gives the answer. We will compare answers afterwards.

How many times do I need to multiply 1 by 2 to get one million Try this on your calculator and write an equation that gives the answer. We will compare answers afterwards.

The answer to these exponent questions is called has a special name called a logarithm

The small number after log is called the “base”. This is what number you are raising to a power.

Note that powers and logarithms are inverse operations

How do you feel up to this point? I feel like I understand things I am a little confused I am very confused Not sure

How many times do I need to multiply 1 by 2 to get 8 x 8? You could do this two ways. First, multiplying by 2 three times is the same as multiplying 8. So you can multiply by 2 three times, then multiply by 2 three more times. This means it takes 3+3 times. Or, you could simply compute 8x8=64, and then find it takes 6 times to get 64.

This method holds true in general. We can use the power rules we already know and the fact that powers and logarithms are inverse operations in order to prove this.

How do you feel up to this point? I feel like I understand things I am a little confused I am very confused Not sure