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Question

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algebra 1, non - calculator 2025 - 2026
a non - exponential equation is shown.
3^x = 30
which of the following expressions is the value of x?
a (sqrt3{30}) b (log_{3}30) c (log_{30}3) d (\frac{30}{3})

Explanation:

Step1: Recall the definition of logarithm

If \(a^x = b\), then \(x=\log_a b\). Given \(3^x = 30\), by the definition of the logarithm, \(x = \log_3 30\).

Answer:

B. \(\log_3 30\)