Convert Exponential Log

Logarithms are the inverse of ___________.

• Trees

• Quadratics

• Square

• Exponential

Tags

CCSS.HSF.BF.B.5

Change to exponential form.

log_a2 = 5

• a² = 5

• 5² = a

• a⁵ = 2

• 2⁵ = a

Tags

CCSS.HSF.BF.B.5

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Change to Logarithmic Form:
5³ = 125

• log ₅ 125 = 3

• log ₃ 125 = 5

• log ₅ 3 =125

• log₁₂₅ 3 = 5

Tags

CCSS.HSF.BF.B.5

Write the equation in logarithmic form.

Answer explanation

Tags

CCSS.HSF.BF.B.5

Write the equation in exponential form.

Answer explanation

Tags

CCSS.HSF.BF.B.5

Write the equation in exponential form.

Answer explanation

Remember, negative exponents move to denominator.

Tags

CCSS.HSF.BF.B.5

Write the equation in logarithmic form.

Answer explanation

Tags

CCSS.HSF.BF.B.5

Write the equation in logarithmic form.

Answer explanation

Tags

CCSS.HSF.BF.B.5

Evaluate the logarithm.

(What does this equal?)

• 4

• -8

• -4

• 8

Answer explanation

First, set equal to x to make this an equation.

Then, change to exponential form.

Then, ask yourself what x equals to make this true?

Remember, negative exponents move to denominator.