Determine if True log base 2 of 8=3

Problem

(log_2)(8)=3

Solution

1. Identify the logarithmic equation to be evaluated, which is (log_2)(8)=3

2. Apply the definition of a logarithm, which states that (log_b)(x)=y is equivalent to the exponential form by=x

3. Substitute the values from the given equation into the exponential form, where the base b=2 the exponent y=3 and the result x=8

4. Calculate the value of the exponential expression 2

5. Evaluate the result of 2⋅2⋅2 which equals 8

6. Compare the calculated result to the value in the original equation to determine if the statement is true.

Final Answer

(log_2)(8)=3* is True

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