Evaluate log base 7 of 49

Problem

(log_7)(49)

Solution

1. Identify the base and the argument of the logarithmic expression. The base is 7 and the argument is 49

2. Rewrite the argument as a power of the base. Since 7×7=49 we can write 49 as 7

3. Substitute the exponential form back into the logarithm to get (log_7)(7)

4. Apply the logarithm property (log_b)(bx)=x In this case, the exponent is 2

Final Answer

(log_7)(49)=2

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