derivative of exponential and logarithmic functions

Find the derivative:

y=log₉x

• y′=1 /((log9)x)

• y′=(ln9)/x

• y′=1/(x(lnx))

• y′=1/((ln9)x)

Find the derivative:

y=(2^3x+4)

• 3(ln2)(2^3x+4)

• 3(2^3x+4)

• 3(2^3x+4/(ln2))

• 2^3x+4

Find the derivative f(x) = xe^x

• f'(x) = e^x

• f'(x) = xe^x + xe^x

• f'(x) = e^x - xe^x

• f'(x) = e^x + xe^x

Solve for x.

 $8^x=1000$  

• 3.32

• 3.50

• 2.72

• 2.97

Solve for x.

 $8^x=1000$  

• 3.32

• 3.50

• 2.72

• 2.97

Solve for x.

 $2\ln3x=4$  

• 3.21

• 2.30

• 2.46

• 5.38