Logarithms

What is the base of $y\ =\ \log\left(3x\right)$ 

• 0

• 1

• 10

• 3

What is the base of y = ln(x)

• 1

• e

• 0

• 10

What is the base of y =  $\log_4$ (3x) - 2

• 2

• 3

• 10

• 4

What is the base of y =  $2\cdot\log_{0.5}$ (x) 

• 0.5

• 2

• 10

• 1

Is $y\ =\ 3\cdot\ln\left(x\right)$ increasing or decreasing?

• increasing

• decreasing

• neither

Is y =  $\log_{\frac{3}{2}}$ (2x) increasing or decreasing?

• neither

• increasing

• decreasing

Is $y\ =\ \log\left(2x\right)\ +\ 1$  increasing or decreasing?

• increasing

• neither

• decreasing

Is y =  $\log_{\frac{1}{3}}$ (x) increasing or decreasing?

• decreasing

• increasing

• neither

Is y =  $3\cdot\log_{\frac{7}{8}}\left(2x\right)+1$  increasing or decreasing?

• decreasing

• neither

• increasing

In the standard form of logarithms, what value do we look at to determine if it is increasing or decreasing?

• the number in the parentheses with the x

• the base value

• the number added onto the end

• the number outside of the log