Change of Base and Exponential Form

Solve for x:
log_xe=1

• 1

• e

• 0

• No solution

Solve for x:
e^x=7

• x=ln7

• x=ln⁷

• x=7^ln

• No solution

Rewrite in exponential form:
ln(2) = x

• 2^x = 10

• 10² = x

• e^x = 2

• e² = x

Write in exponential form

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

log₂(¹/₈) = -3

• 2^-3 = ¹/₈

• 2^1/8 = -3

• -3² = ¹/₈

• -3^1/8 = 2

Re-write in log form 2⁶=64

• log₂6=64

• log₂64=6

• log₆₄2=6

• log₆₄6=2

log₅625=4

• 5⁶²⁵=4

• 5⁴=625

• 4⁵=625

• 4²=16

Rewrite the equation into logarithmic form:
6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

Evaluate log_b(b)

• -1

• 0

• 1

• b