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log_(4)(x+3)=2

$\log _{4}(x+3)=2$

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Convert between exponential and logarithmic form

Full solution

Q.

\log _{4}(x+3)=2

Rewrite as Exponential Equation: We have the equation: $\log_{4}(x+3) = 2$ How can we rewrite this as an exponential equation? $\log_{4}(x+3) = 2$ can be written as $4^2 = x+3$ .
Calculate $4^2$ : We have: $4^2$ $\newline$ Calculate the value of $4^2$ . $\newline$ $4^2 = 4 \times 4 = 16$ $\newline$ So, the equation $4^2 = x+3$ becomes $16 = x+3$ .
Solve for x: The equation $16 = x+3$ $\newline$ Solve for x. $\newline$ $x + 3 = 16$ $\newline$ $x = 16 - 3$ $\newline$ $x = 13$

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