4.1-4.2 Practice

Convert 6^(x+2)=216 to logarithmic form

• log₂₁₆(x+2)=6
• log₆(x+2)=216
• log₆(216)=x+2
• log_(x+2)(216)=6

Convert log(x)=5 to exponential form

• 1⁵=x
• 10^x=5
• x⁵=10
• 10⁵=x

Convert log₈(x+2)=3 to exponential form.

• 8^(x+2)=3
• 3^(x+2)=8
• 8³=x+2
• 3⁸=x+2

Rewrite in exponential form:

log₉x=2

• 9^x=2

• 2^x=9

• 2⁹=x

• 9²=x

Write 6^x = 8 in log form.

• log₆ 8 = x

• log₈ 6 = x

• log₆ x = 8

• log₈ x = 6

Rewrite e^x = 9 using a logarithm

• ln x = 9

• ln 9 = x

• log_x e = 9

• log₉ x = e

Solve for x

5^x = 17

• x = 3.4

• x = 0.57

• x = 1.76

• x = 0.70

Solve for x:
log_x 25 = 2

• 5
• -5
• 1/5
• -1/5

Solve for x
log₈(x) = 2

• x = 256
• x = 64
• x = 16
• x = 32

Solve for x:

• 1
• 2
• .5
• 4