Simplify the expression log _{2}(8)-log _{5}(5)

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Accepted Answer

Step:1 ：The problem is asking to simplify the expression (log _{2}(8)-log _{5}(5)).Step:2 ：The logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number.Step:3 ：So, (log _{2}(8)) means 2 to what power equals 8 and (log _{5}(5)) means 5 to what power equals 5.Step:4 ：(log _{2}(8)) equals 3.0 and (log _{5}(5)) equals 1.0.Step:5 ：Subtracting these values gives the result 2.0.Step:6 ：Final Answer: The simplified expression of (log _{2}(8)-log _{5}(5)) is (boxed{2}).

Answer

Step: 1 ：The problem is asking to simplify the expression (log _{2}(8)-log _{5}(5)).Step: 2 ：The logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number.Step: 3 ：So, (log _{2}(8)) means 2 to what power equals 8 and (log _{5}(5)) means 5 to what power equals 5.Step: 4 ：(log _{2}(8)) equals 3.0 and (log _{5}(5)) equals 1.0.Step: 5 ：Subtracting these values gives the result 2.0.Step: 6 ：Final Answer: The simplified expression of (log _{2}(8)-log _{5}(5)) is (boxed{2}).

Simplify the expression $\log _{2}(8)-\log _{5}(5)$

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