Exponential and Logarithmic Properties Retake

Convert the exponential equation $$3^x = y$$ into its logarithmic form.

If $$\text{log}_x 1000 = 3$$ , what is the value of $$x$$ ?

Evaluate the logarithm $$\text{log}_2 32$$ .

Solve the equation $$\text{log}_8 (4x + 4) = 2$$ for $$x$$ .

Expand the logarithm $$\frac{1}{3} \text{log} x + \frac{1}{3} \text{log} y + \frac{1}{3} \text{log} z$$ .

What is the change of base formula for logarithms?

What is the product property of logarithms?

What is the quotient property of logarithms?

What is the power property of logarithms?

Convert the logarithmic equation $$\text{log}_3 y = x$$ into its exponential form.