Logarithmic

Expand the logarithm
log₁₀ 7x

• (log₁₀ 7)(log₁₀ x)

• log₁₀ 7 + log₁₀ x

• 7log₁₀ x

• xlog₁₀ 7

Convert 10^(x+5)=100 to logarithmic form.

• log₁₀₀=x+5

• log(x+5)=100

• log(100)=x+5

• log_(x+5)(100)=10

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

• 10^(y+2)=x

• 1^x=y+2

• 10^x=y+2

• x^(y+2)=10

log₄ x = 3

• 4

• 12

• 32

• 64

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

• x = 2

• x = -2

• y = 2

• y = -2

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

log₅(4x-7)=log₅(x+5)

• 3

• 12

• 4

• 7

log₉(x)+log₉(x+2)=log₉(35)

• 5

• -7

• 5, -7

• -7, -13

Solve the equation for x.

• 22.198

• e

• 1.131

• 21.66