Log <-> Exponential
Convert: log2(8) = x
What is 2^x = 8
Evaluate: log (100)
What is 2
Expand: log(xy)
What is log (x) + log (y)
Solve: 2^x = 8
What is x = 3
What is the base of a common logarithm?
What is 10
Convert: log5(125) = 3
What is 5^3 = 125
Evaluate: log4(64)
What is 3
Expand: log (x/y)
What is log (x) - log (y)
Solve: log (x) = 4
What is x = 10,000
What is the base of a natural logarithm?
Convert: ln(e^4) = x
What is e^x = e^4
Evaluate: ln(e^5)
What is 5
What is 5log (x)
Solve: log3(x) = 2
What is x = 9
Logs can only take inputs that are…
What is positive numbers
Convert and simplify: log2(x-3) = 5
What is 2^5 = x - 3
Evaluate: log5(25^3/2)
What is 3
Expand completely: log (4x^3/√y)
What is log (4) + 3log (x) - 1/2log (y)
Solve: log2(x+1) = 3
What is x = 7
Why does log (x - 5) have a restricted domain?
What is the argument of a logarithm must be positive
Convert: log(1/√b) = x
What is b^x = b^-1/2
Evaluate: ln(e^4 * e^-7
What is -3
Condense into a single logarithm: 2log (x) + log (y) - 1/2log (z)
What is log (x^2y/√z)
Solve: log (x - 2) + log (x - 4) = 2
What is x = 14
Explain why this equation has no solution: log (x) = log (-x)
What is logarithms cannot have negative inputs