Learning objectives:

1. Students will be able to solve logarithmic equations using the laws of logarithms.

2. Students will be able to demonstrate the seven laws of logarithms confidently.

3. Students will be able to conceptualize logarithmic functions as inverse of exponential functions.

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Law 1: Product Rule

log_b​(M⋅N)=log_bM+log_bN

Law 2: Quotient Rule

log_b​(M/N)=log_bM-log_bN

Law 3: Power Rule

log_b​(M^k)= k⋅log_bM

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Not really a "law" but useful to know

log_b​(1)= 0

Not really a "law" but useful to know

log_b​(b)= 1

Not really a "law" but useful to know

log_b​(b^k)= k

Not really a "law" but useful to know

b^logb​(k)= k

Change of Base Rule

log_ba=log_x b / log_x a

How to solve logarithmic equation?

log₃x = log₃7 + log₃3​

If log₁₀8 = x and log₁₀3 = y

Express log₁₀24 in terms of x and y only​

If log₁₀8 = x and log₁₀3 = y

Express log₁₀720 in terms of x and y only​

​You try!

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