Log and Exponential Equations Review

 $\log_232=$  

• 2

• 3

• 4

• 5

Tags

CCSS.HSF.BF.B.5

 $\log_5\left(\frac{1}{25}\right)=$  

• 5

• 2

• -2

• -5

Tags

CCSS.HSF.BF.B.5

Convert to log form: $3^x=y$  

•  $\log_3x=y$  

•  $\log_3y=x$  

•  $\log_xy=3$  

•  $\log_yx=3$  

Tags

CCSS.HSF.BF.B.5

Rewrite the logarithm in exponential form:
 $\log_x25=3$  

•  $x^3=25$  

•  $3^x=25$  

•  $25^3=x$  

•  $25^x=3$  

Tags

CCSS.HSF.BF.B.5

Solve the following for 'x';

log₆(2x - 2) = log₆(5x - 8)

• x = 3

• x = 2

• x = -1

• No Solution

log (-1) = 

• 0.1
• .01
• all real numbers
• does not exist

Tags

CCSS.HSF.BF.B.5

Solve

log₂(x + 5) = 3

• 3

• 4

• 5

• 6

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.REI.A.1

CCSS.HSA.CED.A.1

Solve:

2log₄(x+2)=2

• 2

• 2, -6

• 6

• -2, 6

Tags

CCSS.HSF.BF.B.5

Solve:

log₈(5x-6) = log₈(4x-3)

• x = 3

• No Solution

• x = 9

• x = 1

Rewrite as an exponential:  $\log_7\left(\frac{1}{49}\right)=-2$  

•  $7^{\frac{1}{49}}=-2$  

•  $\left(\frac{1}{49}\right)^{-2}=7$  

•  $7^{-2}=\frac{1}{49}$  

•  $\left(-2\right)^7=\frac{1}{49}$  

Tags

CCSS.HSF.BF.B.5