Intro to Exponentials and Logs Review

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

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

Simplify: 2log(x) + 3log(xy)

• log(x⁵y³)

• log(5xy)

• 5log(x²y)

• log(6x²y)

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(4xy)

• ln4+lnx+lny

• 4lnxy

• 4lnx+lny

• 4ln(x+y)

log(3x)²

• 2log(3+x)

• 2log3+logx

• log3+2logx

• 2(log3+logx)

log(x⁷)

• log(7x)

• log7+logx

• xlog7

• 7logx

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

Condense: log16 + log2 - log8

• log4

• log8

• log10

• log24

Use multiple log properties to write as a sum or difference of two logs: log(4x³) 

• log 4 + 3log x

• 3log 4 + 3log x

• 3log 4 + log x

• log 12 + log x

Solve for x:  log₆x + log₆(x-5) = 2

• √7

• 9

• 4

• none of these