Given that log￬10 2 ≈ 0.3010 and log￬10 3 ≈ 0.4771, find each logarithm without using a calculator. log￬10 3/2

Graph f(x) = 4^x and g(x) = log4 x in the same rectangular coordinate system.

In Exercises 53-58, begin by graphing f(x) = log₂ x. Then use transformations of this graph to graph the given function. What is the vertical asymptote? Use the graphs to determine each function's domain and range. h(x) = 2 + log2 x

Graph each function. ƒ(x) = log￬1/2 (x+3) - 2

In Exercises 81–100, evaluate or simplify each expression without using a calculator. 10^(log 33)

In Exercises 81–100, evaluate or simplify each expression without using a calculator. In e^9x

In Exercises 105–108, evaluate each expression without using a calculator. log5 (log7 7)

Without using a calculator, find the exact value of: [log3 81 - log𝝅 1]/[log2√2 8 - log 0.001]