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If \[y=b^x\], which equivalent logarithmic statement is correct?

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Question

If \[y=b^x\], which equivalent logarithmic statement is correct?

Options

  • \[b=\log_x y\]

  • \[y=\log_b x\]

  • \[x=b^y\]

  • \[x=\log_b y\]

MCQ
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Solution

Exponential and logarithmic functions with the same base are inverses. Thus, \[y=b^x\] is equivalent to \[x=\log_b y\].

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