Log Properties and Solving

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)

• log8+logx-logy-logz

• log8+logx-logy+logz

• log(8x)-log(yz)

• 8logx-ylogz

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Expand the following logarithm: 
log₂ 5x.

• log₂ 5 - log₂ x 

• log₂ 5 + log₂ x 

• 2log 5 + 2log x

• log5 2 + log_x 2

Write as a single log: log 12 + 2 log x

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

When you have two log expressions separated by a minus sign (-), we really need to ___________ them to simplify into one log expression.

• add

• subtract

• multiply

• divide

• ln(wvu⁵)
• ln(u + v + w⁵)
• ln(uvw⁵)
• ln(uvw)⁵

Condense: log16 + log2 - log8

• log4

• log8

• log10

• log24

log(x⁷)

• log(7x)

• log7+logx

• xlog7

• 7logx