Practicing Solving with Logarithms

Practicing Solving with Logarithms

Let's put yesterday's lesson to practice!

Reminder on how to solve

• Isolate the base

• Take the Logarithm of both sides

• Bring the exponent to the front

• Continue solving!

Multiple Choice

Solve:

 $\frac{1}{2}\left(3\right)^{x-1}=15$  

• 5.2

• 4.1

• 1.32

• -2

Let's make sure we solved that okay!

Multiple Choice

Solve the exponential equation algebraically. (Round to three decimal places): 14(5)^3x+2=560

• 0.097

• 3.689

• 1.625

• 1.896

Let's make sure you understand that one, too!

Multiple Choice

which shows the solution to the equation below? $2^{x-5}+13\ =\ 35$  

•  $\log_2\left(27\right)$  
  

•  $\log_{22}\left(2\right)\ +\ 5$  
  

• 
  

   $\log_2\left(22\right)\ +\ 5$  

•  $\log_{22}\left(7\right)$  
  

Last one before you try on your own!

Multiple Choice

Solve 8 = 2^5x+7

• x = ⅘

• x = ¼

• x = -⅘

• x = -¼

Multiple Choice

Solve this equation for x!

• $x=\log\left(\frac{87}{19}\right)$

• $x=\log_{19}87$

• $x=\frac{\log19}{\log87}$
  

• $x=\frac{\log\left(89\right)}{\log\left(19\right)}$
  

Multiple Choice

7ⁿ⁺¹⁰- 8 = 6

• $n=\frac{\log\left(14\right)}{\log\left(7\right)-10}$

• $n=\frac{\log\left(14\right)}{\log\left(7\right)}-10$
  

• $n=\log\left(2\right)-10$
  

• $n=\frac{\log\left(6\right)}{\log\left(-1\right)}-10$
  

Multiple Choice

3^{2x – 6} = 81

• x = log 4

• x = 5

• x = 4

• x = log(5)