Math 3 8.1-8.3 Review

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216
• log₃(6) = 216
• log₆(216)=3
• log₂₁₆(6)=3

Tags

CCSS.HSF.BF.B.5

Change to Logarithmic Form:
12² = 144

• log ₂ 144 = 12
• log ₁₂ 144 = 2
• log ₁₂ 2 = 144
• log ₂ 12 = 144

Tags

CCSS.HSF.BF.B.5

Solve by getting common bases.  $27^{2x}=3^{x-7}$  

• -7/3

• -1

• -5/7

• -7/5

Solve for p by getting common bases.
 $4^{p+2}=64$  

• p = -16/9

• p = 1

• p = 8

• p = 7/6

Solve 3³ = 3^{4x + 2}

• x = ¼
• x = -¼
• x = ½
• x = -½

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Simplify the expression.  $4^x\cdot4^{3x\ -1\ }\cdot4^{-7x}$  

•  $4^{11x-1}$  

•  $4^{-3x-1}$  

•  $64^{-3x-1}$  

•  $12^{11x-1}$  

Simplify the expression $x^4x^2+\frac{x^{10}}{x^{-3}}$  

•  $x^{13}$  

•  $x^{6\ }+x^7$  

•  $x^{19}$  

•  $x^6+x^{13}$  

Simplify by getting common bases.  $5^{-2x}\cdot\left(\frac{1}{25}\right)^x\cdot125^{x+3}$  

•  $5^{-x+9}$  

•  $5^{-x+3}$  

•  $5^3$  

•  $125^{-x+9}$