5.3 More solving log and exponential equations

Solve for p:
4^p+2 = 64

• p = -16/9
• p = 1
• p = 8
• p = 7/6

Solve the following exponential equation:
 $\left(\frac{1}{2}\right)^{2x}=4^3$ 

•  $x=3$ 

•  $x=-\frac{5}{2}$ 

•  $x=-3$ 

•  $x=\frac{5}{2}$ 

Solve the equation for x.

• 5.352
• 4.326 E91
• 2.324
• 1.89

• 40

• 45

• 35

• 50

 $\log_4\left(8x\right)+7=10$  Solve

• 3

•  $\frac{\log7}{\log4}$  

• 8

• 2

 $\log_4x+\log_4\left(x-3\right)=1$ Solve the equation. Check your answer.

•  $x=-4\ and\ x=1$  

•  $x=4$ 

•  $x=1$ 

•  $x=4\ and\ x=-1$ 

•  $x=-1$ 

• 125

• 128

• 135

• 165

Solve for x:

log₅(4x-7)=log₅(x+5)

• 3

• 4

• 12

• 5

 $\log_4\ x\ \ge\ 4$ 

•  $x\ge256\ ,\left[256,\ \infty\right)$
  

•  $x\ge356\ ,\ \left(356,\ -\infty\right)$ 

•  $x\le256\ ,\ \left[256,\ -\infty\right)$ 

•  $x\ge256\ ,\ \left(-\infty,\ -256\right]$