Unit 3: Pre-Test Warm-up (LOGs)

Without a calculator, evaluate log₄1

• ¹/₄

• 0

• -1

• not possible

Rewrite log_x95 = 2.3

• x^2.3 = 95

• 95^2.3 = x

• 2.3⁹⁵ = x

• x⁹⁵ = 2.3

Tags

CCSS.HSF.BF.B.5

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

• log₂(x/y⁵)
• log₂(xy⁵)
• log₂(x/y)⁵
• log₂(x/5y)

• log (xy³)
• log (x⁶ − y³)
• log (x⁶/y³)
• log (x⁶ + y³)

Expand: $\ln\left(\frac{2x^2y}{z^4}\right)$  

• ln2 + 2lnx + lny + 4lnz

• ln2 + 2lnx + lny - 4lnz

• 2ln(2xy) - 4lnz

• 2ln2x + lny - 4lnz

log(3x)²

• 2log(3+x)

• 2log3+logx

• log3+2logx

• 2(log3+logx)

 $\log\left(\frac{m^3}{n}\right)$  

• logm - log3 - logn

• 3logm + logn

• 3logm - logn

• 3log(m-n)

 $\log\ \left(9-x\right)=\log\ \left(2x-6\right)$  

• 5

• -11

•  $\frac{18}{19}$  

• -4

Solve for x

• 1.631

• 2.262

• 1.734

• 1.465

solve for x.

 $3^{2x-1}\cdot3^4=3$  

• 1/2

• 5/8

• -1

• 8/5