Logs 1

Rewrite log_x95 = 2.3

• x^2.3 = 95

• 95^2.3 = x

• 2.3⁹⁵ = x

• x⁹⁵ = 2.3

Rewrite 1.6^(x+2) = 14.1

• log_1.614.1 = x+2

• log_1.6(x+2) = 14.1

• log_14.1(x+2) = 1.6

• log_(x+2)1.6 = 14.1

Without a calculator, evaluate log₄1

• ¹/₄

• 0

• -1

• not possible

Without a calculator, determine which of the following ISN"T possible. Check all that apply.

• log₂ (x - 4) when x = 4

• log₃ (x+3) when x = 0

• -2log₅ (x-1) when x = 0

• ¹/₂ log (x+4) when x = -2

Without a calculator, evaluate log₆ -36

• not possible

• -2

• 2

• ¹/2

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Write in exponential form

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Solve for x:
log_x 25 = 2

• 5
• -5
• 1/5
• -1/5

Solve for x.
3^x = 27

• 2
• 4
• 3
• 5

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄