Logarithms and Exponentials Inverse

Find the inverse of : y=log_9x+4 HINT: isolate the logarithm first.

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

Rewrite the equation in logarithmic form.

• A

• B

• C

• D

Evaluate log_b(1)

• 0

• 1

• -1

• b

Solve for y

• y = log 3/ log 4

• y = log 4/ log 4

• y = log 4/ log 3

• y = log 3/ log 3

What is the next step to solve for x

• Divide both sides by e

• Do nothing

• Take the natural log of both sides

Evaluate.

log₆ (¹/₂₁₆) = x

• 3

• ¹/₃

• -¹/₃

• -3

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆