Logarithms | All Things Mathematics

Browsing All Posts filed under »Logarithms«

How Well Do You Know Logs

October 30, 2014

Find the value of the 9log34 without using log tables or log values? Things to Remember: Logarithm Rules: Multiplication Rule: Logb mn = Logb m + Logb n Division Rule:Logb (m/n) = Logb m – Logb n Exponent Rule:Logb mn = n Logb m Log to the Same Base Rule: Logb b = 1 Click […]

Solve the Equation Below to Find m+n

September 18, 2014

Given that 1. ambn = x and 2. cmdn = y Find the value of m+n? Hint: Use the log function to solve the problem Click for Log Rules Click for solution to Log Problems

Proof of Log Rules

June 5, 2014

Prove that Logb (mn) = Logb m + Logb n ——————— Log Multiplication Rule Prove that Logb (m/n) = Logb m – Logb n ——————– Log Division Rule Prove that Logb (m)n = n Logb m —————————— Log Exponent Rule Prove that Logb a = (logx a)/ (logx b) ————————- Log Change of Base Rule Click for […]

Simplifying and Expanding Log Expressions Using Log Rules

June 5, 2014

Expand the following log expressions using log rules: 1. Log2 5x 2. Log2 (8/x) 3. Log2x3 4. Log2 (8x3/2) 5. Log4(64x/8) 6. Log2 ((x3y)/(x+3)4) Simplify the following log expressions: 1. Log3 4 – Log3 5 2. 3log2 y – 4log2 (x+5) + 2Log2 x 2Log2 x + 3Log2 y +3Log2 z Things to Remember: Logarithm […]

Relationship Between Logarithms and Exponents

June 3, 2014

Convert the following exponents into logarithms: 1. 62 = 36 2. 73 = 343 Convert the following logarithms into exponents: 1. Log2 8 = 3 2. Log3 81 = 4 Find the value of the following expression: 1. Log5 25 2. Log 9 3 3. Log5 5 4. Log3 1 5. Log4 (-16) 6. Log4 0 […]