I started out doing this the complicated way, but then I spotted the easy way, and I realized how awkward and unhelpful my first method was.
**log₃ ( 27/81 ) **.
Before we even begin to worry about the log , let's reduce that ugly fraction to lowest terms (simplest form).
Divide top and bottom by 27 :
log₃ (1/3) . Now it's a lot less scary.
Definition of log₃ of (some number): The power that 3 must be raised to in order to get the number.
What power do you have to raise 3 to in order to get 1/3 ?
Hint: What does ' 3⁻¹ ' mean ?
' 3⁻¹ ' means 1/3 .
So -1 is the power to which you have to raise 3 in order to get 1/3.
So the log₃ of (1/3) is -1 .
I suspect this is going in and out of focus as you read it. Please go back and read it another 2 or 3 times, until it snaps into focus.
lo g 3 81 27 = lo g 3 3 1 = lo g 3 3 − 1 = − 1
To solve a logarithmic equation like lo g b ( a ) , we need to identify the base and argument, understand the definition of logarithm, and apply its properties. For example, in lo g 3 ( 27 ) , since 27 = 3 3 , it simplifies to 3. This method can be applied to other logarithmic equations as well.
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Jawaban:100 kmPenjelasan dengan langkah-langkah:= jp ÷ s[tex] = 8 \div \frac{1}{1.250.000} [/tex][tex] = 8 \times \frac{1.250.000}{1} [/tex]= 10.000.000 cm= 100 km[tex]\boxed{ \red{ \boxed{\pink{\mathcal{M \frak{ ilana} \purple{ \tt01}}}}}} [/tex]