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# Logarithm Question Mathematics & Economics Math Problem (Math Problem Sample)

Instructions:

Solve the question and find the value of x

source..Content:

MATH QUIZ SOLUTION

PETER OTIENO

APRIL 30, 2020.

Solve log ( 2x + 1 ) – log 6 = 2 for x?

Solution Process.

1 Let 2x + 1= a and 6=b

2 Therefore our new equation will be log a - log b = 2

3 In logarithms, we take + ( addition) as multiplication and - (subtraction) as division. In our case we have the subtraction sign which means we divide the values as follows:

4 Log(a/b) = 2

5 NOTE: This is a logarithmic function with base 10. Hence introducing the base on both sides in the equation and have our new equation as,

6 10^log(a/b)=10^2

7 Base 10 negates

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