Logarithm - Change of Base

• 36

• 2

• 6

• 5.17

Answer explanation

Now we have log 36 with a base of 2.

We can only do logarithms with a base 10 or e on a calculator... so, we need to use the formula to change the base.

Change it to 10 and type

log (36) /log (2)

Tags

CCSS.HSF.BF.B.5

Pay attention to a and b.

New base c can be whatever you choose.

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

• 3.569

• 1.176

• 15

• 4.907

Answer explanation

Solution

Tags

CCSS.HSF.BF.B.5

• 2.162

• 1.161

• 0.097

• 3.278

Answer explanation

Remember the formula?

5 and 4 will move (5 in the numerator and 4 in the denominator), and you can choose a new base to be whatever you want.

e or 10 will work.

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

• 2.10

• 1.18

• 1.07

• 1

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

What is Log 3.55?

• 0.55

• 12.18

• 0.75

• 1.18

Tags

CCSS.HSF.BF.B.5

• 2.864

• 0.789

• 1.432

• 12

Tags

CCSS.HSF.BF.B.5

• 18.569

• 1.759

• 12

• 2.059

Tags

CCSS.HSF.BF.B.5

• 1.258

• 0.904

• 0.518

• 12

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4