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$$a^{bx} = c$$

Solve for x

$$\log a^{bx} = \log c$$

$$bx \log a = \log c$$

$$x = \frac{\log c}{b \log a}$$

Is this correct?

Thanks :)

joriki
  • 238,052

1 Answers1

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Community wiki answer so the question can be marked as answered:

No ranges are given. As André noted in a comment, some assumptions are required. If $a$ is assumed to be a positive real number, your calculation is correct.

joriki
  • 238,052