For Exercises 89-98, determine if the statement is true or false. For each false statement, provide a counterexample. For example, log ( x + y ) ≠ log x + log y because log ( 2 + 8 ) ≠ log 2 + log 8 (the left side is 1 and the right side is approximately 1.204). 91. log 5 ( 1 x ) = 1 log 5 x
For Exercises 89-98, determine if the statement is true or false. For each false statement, provide a counterexample. For example, log ( x + y ) ≠ log x + log y because log ( 2 + 8 ) ≠ log 2 + log 8 (the left side is 1 and the right side is approximately 1.204). 91. log 5 ( 1 x ) = 1 log 5 x
Solution Summary: The author explains that the sum rule of logarithm states that when the two logs with same base are being added, then the numbers can be multiplied to simplify.
For Exercises 89-98, determine if the statement is true or false. For each false statement, provide a counterexample. For example,
log
(
x
+
y
)
≠
log
x
+
log
y
because
log
(
2
+
8
)
≠
log
2
+
log
8
(the left side is 1 and the right side is approximately 1.204).
I estimate that log8 16 lies between 1 and 2 because 81 = 8 and 82 = 64.Determine whether the statement makes sense or does not make sense, and explain your reasoning.
What is the domain of ƒ1x2= logb x2? What is the range of ƒ1x2= logb x2?
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How to determine the difference between an algebraic and transcendental expression; Author: Study Force;https://www.youtube.com/watch?v=xRht10w7ZOE;License: Standard YouTube License, CC-BY