Convert Exponential Log

Logarithms are the inverse of ___________.

• Trees

• Quadratics

• Square

• Exponential

Change to exponential form.

log_a2 = 5

• a² = 5

• 5² = a

• a⁵ = 2

• 2⁵ = a

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Change to Logarithmic Form:
5³ = 125

• log ₅ 125 = 3

• log ₃ 125 = 5

• log ₅ 3 =125

• log₁₂₅ 3 = 5

Write the equation in logarithmic form.

Answer explanation

Write the equation in exponential form.

Answer explanation

Write the equation in exponential form.

Answer explanation

Remember, negative exponents move to denominator.

Write the equation in logarithmic form.

Answer explanation

Write the equation in logarithmic form.

Answer explanation

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.