The expression you've provided, $b^x - 1$, is not an equation because there is no equals sign, so it's unclear what to solve for. Could you please clarify or provide additional information, such as the equation or what it equals? For example, are you looking to solve an equation like:

$b^x - 1 = 0 \quad \text{or} \quad b^x - 1 = y \quad ?$

Once I know the full equation, I can solve for $b$ accordingly.

Would you like to provide that detail or ask a related question?

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Here are 5 relative questions:

1. Are you solving for $b$ in terms of $x$?
2. Is there a specific value for $x$ you'd like to use?
3. Is this a part of a larger system of equations?
4. Are you working with logarithms or exponents in this problem?
5. Would you like to explore similar exponential equations?

Tip: When solving exponential equations like $b^x = y$, logarithms are very useful for isolating the variable in the exponent.