Solving Exponents and Logs

Convert 16 = 2^x to a Log

• Log₂(x) = 16

• Log₂(16) = x

• Log₁₆(x) = 2

• Log_x(16) = 2

Convert Log₂64 = y to an exponent

• 64^y = 2

• 2⁶⁴ = y

• 64² = y

• 2^y = 64

Convert Log₃x = 4 to an exponent

• 3^x = 4

• 3⁴ = x

• x³ = 4

• 4^x = 3

Change to Exponential Form:

log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Solve for x

 log₅25 = x

• x=2

• x=25

• x=5

• x=1

Rewrite in logarithmic form.

3⁴ = 81

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Rewrite in logarithmic form:

5³ = 125

• log ₅ 125 = 3

• log ₃ 125 = 5

• log ₅ 3 =125

• no correct answer

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x