4.06

Write log₂₃y = x as an exponential function.

Write 3^x = 66 as a logarithmic function.

Write 1 - 3log₅x as a single logarithm.

Solve x = log₂100. Round your answer to the nearest hundredth.

Write x⁶ = 100 as a logarithmic function.

Write log₆27 - 2log₆3 as a single logarithm.

What is the transformation that occurs to the equation y = 5^x if it changes to y = 5^{x - 3} + 5?

What is the range of the function y = 2^{x + 3} + 2?

What is the domain of f(x) = log(x + 3) - 4?

Solve 3^x+1 = 500. Round your answer to the nearest hundredth.