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log_(3)9=

$\log _{3} 9=$

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Add, subtract, multiply, and divide integers

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Q.

\log _{3} 9=

Identify base and number: Identify the base and the number for which we are finding the logarithm. $\newline$ The base is $3$ and the number is $9$ .
Recall logarithm definition: Recall the definition of a logarithm. $\newline$ The logarithm $\log_{\text{base}}(b)(a)$ is the exponent to which the base $b$ must be raised to obtain the number $a$ .
Determine exponent: Determine the exponent that makes the base equal to the number. $\newline$ We need to find the exponent $x$ such that $3^x = 9$ .
Solve equation: Solve the equation $3^x = 9$ . $\newline$ Since $9$ is $3$ squared ( $3^2$ ), we can see that $x = 2$ .
Conclude logarithm value: Conclude the value of the logarithm. $\newline$ Therefore, $\log_{3}9 = 2$ .

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