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log_(7)16

$7$ . $\log _{7} 16$

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Evaluate logarithms

Full solution

Q.

7

.

\log _{7} 16

Identify Base and Argument: Identify the base and the argument of the logarithm. $\newline$ In $\log_{7}16$ , $7$ is the base and $16$ is the argument. $\newline$ We need to express $16$ as a power of $7$ , but since $16$ is not an integer power of $7$ , we will not be able to express it as a simple whole number or fraction.
Express as Power of $7$ : Approximate or calculate the value of the logarithm using properties of logarithms or a calculator. $\newline$ Since $16$ cannot be expressed as a simple power of $7$ , we can either approximate the value using a calculator or leave the expression as it is if an exact form is required and no calculator is allowed. $\newline$ For the sake of this problem, we will assume that we need an exact form and since we cannot simplify it further, we will leave the expression as $\log_{7}16$ .

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