Whenever you’re asked to expand a logarithmic expression, your end goal is to rewrite this expression to reflect the different components present. Refresh what you’ve already known about logarithmic rules and properties.Īfter reviewing these important concepts, let’s go ahead and apply these to start expanding different logarithmic expressions.The exponent tells you how many times to multiply the base. The difference between common and natural logarithms. 2 4 16base 2exponent 4result 16 24 16 base 2 exponent 4 result 16 As you see, every exponent has a base. ![]() Expand and condense logarithms worksheet. Example: Condense the following expression as. ![]() 7 log 3 x y 4 8 log 4 84 7 9 log 4 7 12 5 10 log 6 a b c 11 log 5 x5 y 12 log 6 3 u2 Level 4. Be careful: Notice that we can condense only logarithms with the same base.
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