Unit 10 Reteach: Solving Exponentials & Logarithms

log₄(3x-1)=log₄(2x+3)

• 4

• 3

• 1

• 8

log₈(4x+4)=2

• 15

• 12

• 10

• 3

lnx = -3

• 8.1548

• -8.1548

• 0.0498

• -0.0498

Solve for x:
 $4^{2x}+1=17$  

•  $x=\frac{\log_416}{2}$  
  

•  $x=\frac{e^{16}}{2}$  
  

•  $x=\frac{\log_418}{2}$  
  

•  $x=\log\left(4^{2x}\right)-16$  
  

Solve for x:

2^{3x - 1} = 32

• $x=\frac{\log_232}{3}+1$
  

• $x=3\log_232+1$
  

• $x=\frac{e^{32}+1}{3}$
  

• $x=\frac{\log_232+1}{3}$

log₆(2x + 3) = 3

• x = 106.5
• x = 100
• x = 16
• x = 50

The inverse function of an exponential function is known as a...?

• quadratic function
• square root function
• absolute value function
• logarithmic function

Solve for x: 
4^x = 32

• 2
• 4
• log₄32
• log₃₂4

Solve for x:
5^x = 17

• x = log₁₇5
• x = log 5 + log 17
• x = log₅17
• x = (log 5)/(log 17)

Solve for x:

e^2x = 11

• $x=\frac{\ln\left(11\right)}{2}$

• x = 2log_e11

• x = 2eLOG 11

• $x=\ln\left(\frac{11}{2}\right)$