Identify base, argument, and result: Identify the base (b), the argument (x), and the result (y) of the logarithm. In the logarithmic equation log_(4)4, we have: b = 4 (base of the logarithm) x = 4 (argument of the logarithm) Since log_(4)4 is the power to which the base 4 must be raised to produce 4, we know that y = 1 because 4^1 = 4.Convert to exponential form: Convert the logarithmic equation to exponential form. Using the definition of a logarithm, we can convert log_(4)4 into its exponential form. The logarithmic equation log_(b)x = y can be rewritten as b^y = x. Substitute b = 4, x = 4, and y = 1 into the equation to get 4^1 = 4.Check the result: Check the result to ensure it is correct. Since 4^1 = 4 is true, we have correctly converted the logarithmic equation to exponential form.

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$\log _{4} 4=$

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Algebra 2

Convert between exponential and logarithmic form: all bases

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\log _{4} 4=

Identify base, argument, and result: Identify the base (), the argument (), and the result () of the logarithm. $\newline$ In the logarithmic equation (), we have: $\newline$ = (base of the logarithm) $\newline$ = (argument of the logarithm) $\newline$ Since () is the power to which the base must be raised to produce , we know that = because ^ = .
Convert to exponential form: Convert the logarithmic equation to exponential form. $\newline$ Using the definition of a logarithm, we can convert $\log_{4}4$ into its exponential form. The logarithmic equation $\log_{b}x = y$ can be rewritten as $b^{y} = x$ . $\newline$ Substitute $b = 4$ , $x = 4$ , and $y = 1$ into the equation to get $4^{1} = 4$ .
Check the result: Check the result to ensure it is correct. $\newline$ Since $4^1 = 4$ is true, we have correctly converted the logarithmic equation to exponential form.