Solving Logarithm and Exponential Functions

Converting exponential to logarithmic form: Write the logarithmic form of the exponential equation 3^x = 27

• log3(3) = x

• log3(9) = x

• log27(3) = x

• log3(27) = x

Solving exponential equations using logarithms: Solve the equation 2^x = 16 using logarithms

• x = 4

• x = 8

• x = 10

• x = 2

Solving exponential equations using logarithms: Find the value of x in the equation 4^x = 64 using logarithms

• 16

• 3

• 8

• 2

log₆(2x + 3) = 3

• x = 106.5

• x = 100

• x = 16

• x = 50

log₆(3x - 2) = log₆(5x - 8)

Mathematical Equivalence

OFF

log₆(3x - 2) = log₆(5x - 8)

Mathematical Equivalence

OFF

Write b^k = m into logarithmic form.

• log _b m = k

• log _m k = b

• log _b k = m

• log _k m = b

Converting exponential to logarithmic form: Convert the exponential equation 5^2 = 25 to logarithmic form

• log2(25) = 5

• log5(2) = 25

• log25(5) = 2

• log5(25) = 2

Using logarithms to solve real-world problems: A population of bacteria doubles every 3 hours. If there are 100 bacteria initially, how many will there be after 12 hours?

• 1600

• 1200

• 800

• 200

Find the inverse of y=9^x

• y=log_x9

• y=log₁₀9

• x=log_y9

• y=log₉x