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Find the exact value of each expression.(a) $\log _{2} 6-\log _{2} 15+\log _{2} 20$(b) $\log _{3} 100-\log _{3} 18-\log _{3} 50$

(a) 3(b) -2

Calculus 1 / AB

Chapter 1

Functions and Sequences

Section 5

Logarithms; Semilog and Log-Log Plots

Functions

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Evaluate the expression.

For the following problem, we want to consider the value of each expression. So it's going to require us to use log arrhythmic properties. We know that log base two of 6 -6 Base two 15 is equal to log base two Have 6/15, which is the same thing as log base two. Uh um To this, so right there we're going to have an answer that's exact. Or if we just wanted a decimal answer, we could plug this into a calculator and get this is our answer. But we see that when calculating lives, We can also multiply. So that's going to occur when we have plus log base two of 20 for example, and we'll end up getting three is our answer.

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