Exponential Equations

log(x+6) = 1

• 4
• 4.222
• -5
• -9.550

Rewrite in exponential form:
log (x) = ¼

• x^1/4 = 1
• 1^x =¼
• 10^1/4 = x
• 10^x = ¼

Write the following equation in exponential form:
log₂32 = 5

• 2⁵ = 32
• 2³² = 5
• 5² = 32
• 32² = 5

log₂(x+3)=4

• 16

• 13

• 3

• 10

Evaluate the following logarithm:

log₃27

• 3

• 2

• -3

• ¹/₃

Solve for r:
3^-3r = 3⁵

• -4
• -5/3
• 2
• 8

Change to Logarithmic Form:
5³ = 125

• log ₅ 125 = 3
• log ₃ 125 = 5
• log ₅ 3 =125
• log₁₂₅ 3 = 5

log₅ (2x - 3)² = 6

• x = 128
•  x = 64
• x = 4
• x = 14

Solve the equation.

• A
• B
• C
• D

Solve the equation. Round answers to the nearest thousandth.  $\log_7\left(-3x-2\right)=\log_7\left(-x+4\right)$  

• -10

• -5

• .933

• -3