Logarithms. Logarithms can be very helpful when solving exponential equations , specifically when they do not have the same base. In fact, logarithms ARE exponents. Def : What is a logarithm?
Given: = a, where b represents the base, x represent the exponent and “a” represents the answer. Both b and x are positive numbers where 1
This can be written using logarithms:
2. Change to exponential form
Domain of a LOG = Range of EXPONENTIAL FN = (0 ,
Range of a LOG =Domain of EXPONENTIAL FN =
The Domain of a Log is Positive Real Numbers so the argument of a log fn. Must be > 0
x > -3 D: (-3,
Try: f(x) = g(x) =
solve both num.& den.
x > -1 -x > -1
x < 1
3x = 7