Ch 7 Review - Solving Exponential and Log Equations

 $\log_232=$  

• 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

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

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

Solve: 9^8-x = 27^x-3

• 5
• -5
• 1/5
• -1/5

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.4

Solve for b:
36^3b = 216^b+4

• 6
• 1
• 4
• -4

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.4

CCSS.HSA.REI.A.1

Solve the following for 'x';

log₆(2x - 2) = log₆(5x - 8)

• x = 3

• x = 2

• x = -1

• No Solution

Use multiple log properties to write as a sum or difference of two logs: log(4x³) 

• log 4 + 3log x
• 3log 4 + 3log x
• 3log 4 + log x
• log 12 + log x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Solve for x: log₆x + log₆(x-5) = 2

• √7

• 9

• 4

• 9, -4

Evaluate: log₅ 20

Use the log base function on the TI-84, write your answer to the third decimal place

• 0.537

• 2.996

• 1.301

• 1.861