HONORS REVIEW 10.2-10.3 LOGS

Solve for x:
 $\log_5\left(5x-14\right)=\log_5\left(8x+4\right)$  

• x = 6

• no solution

• x = -18/13

• x = 10/3

Solve:  $\log_6\left(2x\right)=\log_6\left(x+3\right)$  

• 6

• 3

• 2

• x

Why can't the following problem be solved? $\log_4x=\log_32+3x$  

• The variables are on diffent sides of the equation.

• 2 is not divisable by 4

• The bases are not the same.

• x = 2

Logarithms and Exponentials are what?

• parallel
• perpendiular 
• inverses
• congurent

Tags

CCSS.HSF.BF.B.5

Condense: log16 + log2 - log8

• log4
• log8
• log10
• log24

Evaluate log₄1

• 1
• 0
• 4
• undefined

Re-Write the Logarithm Equation into Exponential Form
log_hw = d

• w = h^d
• w^d = h
• h = w^d
• h^w = d

Tags

CCSS.HSF.BF.B.5

Which is the product property of logarithms?

• $\log_b\left(x\cdot y\right)\ =\log_bx\ +\log_by$

• $\log_b\left(\frac{x}{y}\right)\ =\ \log_bx\ -\ \log_by$

• $\log_bx^n=n\log_bx$

Which is the power property of logarithms?

• $\log_b\left(x\cdot y\right)=\log_bx\ +\log_by$

• $\log_b\left(\frac{x}{y}\right)\ =\ \log_bx\ -\log_by$

• $\log_b\ x^n\ =n\log_bx$

What is the quotient property of logarithms?

• $\log_bx^n=n\log_bx$

• $\log_b\left(\frac{x}{y}\right)=\log_bx\ -\log_by$

• $\log_b\ \left(x\cdot y\right)=\log_bx\ +\ \log_by$