Solving Exponential and Log Equations EOC Tennessee

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

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 for x:  log₆x + log₆(x-5) = 2

• √7

• 9

• 4

• none of these

Solve:

log (x - 1) - log (x - 2) = log 5

• 7

• 4/9

• 9/4

• 1/7

log₆(3x - 2) = log₆(5x - 8)

Mathematical Equivalence

OFF

ln (3x + 2) = ln (5x - 6)

Mathematical Equivalence

OFF

• 10

• 4x-8

• 1008

• 4x

• 252

• 1

• e

• e³+8

• 7.021

• 1004

Mathematical Equivalence

ON

log₆(3x - 2) = log₆(5x - 8)

Mathematical Equivalence

OFF

ln(x+8) - ln (8) = 3

• 152.68

• 188.77

• 4.24

• 8.01