Log Equation Review

Rewrite 3⁴ = 81 in logarithmic form.

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

Rewrite log₃t = 5 in exponential form.

• 5^t=3
• log₃5 = log₃t
• t⁵=3
• 3⁵=t

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

• log (12 + 2x)
• log (14x)
• log (12 * 2x)
• log (12x²)

Expand  $\log_2\left(3y^2\right)$  

•  $\log_2\left(3\right)\ +\ \log_2\left(y\right)$ 

•  $2\log_2\left(3\right)\ +\ 2\log_2\left(y\right)$ 

•  $\log_2\left(3\right)\ +\ 2\log_2\left(y\right)$ 

•  $\log_2\left(\frac{3}{y^2}\right)\$ 

Solve: ln(x) = 5

• 148.413

• 13.591

• 100000

• 1.610

Solve 8 = 2^5x+7

• ⅘
• ¼
• -⅘
• -¼

Tags

CCSS.HSF.LE.A.4

Solve for x.
 $\log_3\left(7\right)+\log_3\left(2x\right)=2$  

•  $-\frac{9}{8}$  

•  $\frac{13}{2}$  

•  $\frac{9}{14}$  

•  $\frac{9}{40}$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

Which of the following is the value of x given;
7e^(3x-5) = 49

• x = 2.315
• x = 0.681
• x = 2.964
• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.4

Solve the equation for x.

• 7.389
• 0.693
• 0.0183
• 6.581

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

7ⁿ⁺¹⁰- 8 = 6

• -7.374
• -8.643
• -7.360
• -8.853

Tags

CCSS.7.EE.B.4A