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Given that logB 2=0.565, logb 4=1.13 and logb 6= 1.461 find logb 4/b

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Final answer:

To find logb (4/b), we can simplify the expression using the property of logarithms. Substituting the given values, we can solve for logb (4/b).

Step-by-step explanation:

To find logb (4/b), we can first simplify the expression. Using the property of logarithms that states logb a - logb b = logb (a/b), we have:

logb (4/b) = logb 4 - logb b

Given that logb 4 = 1.13, we can substitute the values and solve:

logb (4/b) = 1.13 - logb b

To find logb b, we know that the logarithm of a number to the base of that number is always equal to 1.

Therefore, logb b = 1. Substituting this value, we get:

logb (4/b) = 1.13 - 1

= 0.13

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