7.4-7.6 Exponentials & Logarithms Assessment

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Tags

CCSS.HSF.BF.B.5

Expand:

log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

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

• ln2+2lnx+lny+4lnz

• ln2+2lnx+lny-4lnz

• 2ln(2xy)-4lnz

• 2ln2x+lny-4lnz

Condense:  $\log6+7\log v\ +\ 3\log w$ 

•  $\log\ \frac{6v^7}{w^3}$ 

•  $\log126vw$ 

•  $\log6v^7w^3$ 

•  $\log\ \left(6+v^7+w^3\right)$ 

Write as a single logarithm
 $5\log_bt-\log_bs$  

•  $\log_bt^5\div\log_bs$  

•  $\log_b\left(\frac{t^5}{s}\right)$  

•  $\log_b\left(\frac{5t}{s}\right)$  

•  $\log_b\left(t^5-s\right)$  

If
 $27^x=1$  , then x = ?

(Only type in a number for your answer)

Sovle for x:
5^{-3x - 1} = 25

• x = -1
• x = -4
• x = -3
• x = 1

Identify the exact answer for the value of "p"

 $e^{4p}=6$ 

•  $\frac{\ln\left(6\right)}{4}$  

•  $4\ \ln\left(6\right)$  

•  $\frac{\ln\left(4\right)}{6}$  

•  $\frac{3}{2}e$  

Solve for m:
 $\log_2\left(4x+4\right)=5$  

(Only type in a number for your answer)

Tags

CCSS.HSF.BF.B.5