Solve Exponential and Log Equations

Solve the equation for x.

• 22.198

• e

• 1.131

• 21.66

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216

• log₃(6) = 216

• log₆(216)=3

• log₂₁₆(6)=3

Evaluate log₅  20 to the third decimal place

• 0.537

• 2.996

• 1.301

• 1.861

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)

• log₂(xy⁵)

• log₂(x/y)⁵

• log₂(x/5y)

Solve log₂ (2 - 2x) + log₂ (1 - x) = 5

• 4

• 5

• -2

• -3

Solve log₅ (x + 3) = log₅ x + log₅ 3

• 3/2

• 9/2

• 2/3

• No Solution

Solve log₂ (x² - 1) = 3 + log₂ (x - 1)

• 4

• 2

• 1

• 7

Solve ln (x - 2) - ln (3x) = 0

• -1

• 2

• e

• e⁵

Solve 8 ^. 3^x = 5

• 0.506

• 2.337

• -0.516

• -0.428