Solving multi-step problems using non-linear equations in one variable

What is the solution to the equation:  $\log_44x+2\log_4x=4?$  

• 1

• 2

• 3

• 4

• A
• B
• C
• D

• x = -0.596

• x = -0.965

• x = -0.956

• x = -0.695

Solve the equation.

 $\ln2+\ln\left(x-7\right)=8$  

•  $x=1497.479$  

•  $x=812.342$  

•  $x=1504.479$  

•  $x=915.387$  

Solve:

ln(x+8) - ln (8) = 3

• 152.68

• 188.77

• 4.24

• 8.01

Use properties to solve. When necessary round your answer to the nearest thousandth.

 $\log_2\left(x+6\right)=\log_2\left(3\right)+\log_2\left(x-2\right)$  

Solve the given equation for x:

 $\log_4\left(x\right)+\log_4\left(x-6\right)=2$  

• x = 8, x = -2

• x = -8, x = -2

• x = -8, x = 2

• x = 8, x = 2

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions.

 $\ln\left(x-4\right)-\ln\left(x+8\right)=\ln\left(x-9\right)-\ln\left(x+1\right)$  

11. Solve the equation

 $\log\left(5x-1\right)=2+\log\left(x-2\right)$  

• 199/96

• 199/100

• 200/95

• 199/95