Exponential and Natural Log Equations

Convert log(x)=5 to exponential form

• ⁵=x

• ^x=5

• ⁵=10

• ⁵=x

Convert 6^(x+2)=216 to logarithmic form

• log₂₁₆(x+2)=6

• log₆(x+2)=216

• log₆(216)=x+2

• log_(x+2)(216)=6

Convert log(x)=y+2 to exponential form.

• 10^(y+2)=x

• 1^x=y+2

• 10^x=y+2

• x^(y+2)=10

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)

Which of the following is the value of x given;
e^(x + 6) = 12

• x = ln 6

• x = -6 + ln12

• x = ln72

• x = ln(-2)

ln(e^W)

• e

• W

• e^W

• undefined

Evaluate. 

• A

• B

• C

• D

Determine the correct set-up for: log₄(x-1) - log₄(x+7) = log₄6

• log₄(x-1)/(x+7)=log₄(6)

• log₄(x-1)(x+7)=log₄(6)

• log₄(x+7)/(x-1)=log₄(6)

• (x-1)(x+7)=6

log₆(3x - 2) = log₆(5x - 8)

Mathematical Equivalence

OFF

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

• Natural Log, base "e"
  LN_e