Logs With Uncommon Bases

• 6log₈(xyz)
• log₈(x) - log₈(y) - 6log₈(z)
• log₈(x) + log₈(y) - log₈(z)
• log₈(x) + log₈(y) + 6log₈(z)

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Evaluate.

log₂8⁷

Mathematical Equivalence

ON

What does the b in log_bA=x represent?

• Argument

• Base

• Exponent

• Bottom

log₅25 = ?

• 2

• 5

• 125

• 10

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)

Solve for x:  log₆x + log₆(x-5) = 2

• √7

• 9

• 4

• none of these

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

• 152.68

• 188.77

• 4.24

• 8.01