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lesson 7.2 - log vs exponent conversions
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7.2 hw - log vs exponent
score: 14.33/19 answered: 7/10
question 8
solve for x
\\(\log_{3}(x) = 3\\)
\\(x = \\)

Explanation:

Step1: Recall log to exponent conversion

The logarithmic equation $\log_{b}(a) = c$ is equivalent to the exponential equation $b^{c}=a$. Here, $b = 3$, $c = 3$, and $a=x$.

Step2: Apply the conversion formula

Using the formula, we substitute the values: $3^{3}=x$.

Step3: Calculate $3^{3}$

$3^{3}=3\times3\times3 = 27$.

Answer:

27