Solving Basic Log Equations

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

• g(x)=log₃(x+6)+4

• g(x)=log₃(x+4)-6

• g(x)=log₃(x-6)+4

• g(x)=3log(x+6)+4

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

log₅25 = ?

• 2

• 5

• 125

• 10

Evaluate log₈ 8

• 8

• -1

• 0

• 1

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216

• log₃(6) = 216

• log₆(216)=3

• log₂₁₆(6)=3

Rewrite log_x95 = 2.3

• x^2.3 = 95

• 95^2.3 = x

• 2.3⁹⁵ = x

• x⁹⁵ = 2.3

Evaluate the following logarithm:

log₃27

• 3

• 2

• -3

• ¹/₃

log₆(¹/₂₁₆)

• 3

• ¹/₃

• -¹/₃

• -3

Rewrite the equation in logarithmic form.

• A

• B

• C

• D