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How many laws of logarithms do we have?
Three (3).
multiplication law
division law
power law
What is the multiplication law?
What is the division law?
What is the power law?
What is the log(1/×) equal to?
It is equal to -log(x).
How would you solve the following equation?
By taking logs from both sides and rearranging to find x. (result: x = 0.105)
How would you solve the following equation?
By using substitution with y = 3^x and then taking logs from both sides.
When is the inequality symbol of logarithmic inequality reversed?
When we divide with a negative number, or in this case, when log is between 0 and 1.
Look at the following example, log 0.6 is a negative number, so the sign changed from < to >.
What are natural logarithms?
Logarithms to the base of e.
How can we transform a certain relationship to linear form?
By taking ln (natural logarithmics) from both sides. We would need to get a form of Y = mX + c. Look at the following example for detailed explanation: