Isolation of a variable exponent?

1. Oct 3, 2005

Trepidation

$$1 = a^{b}$$

How can I isolate b in that equation?

Thanks. ^^

2. Oct 3, 2005

Pyrrhus

Use Logarithms.

3. Oct 3, 2005

HallsofIvy

Staff Emeritus
That's the whole point of logarithms. logax= y if and only if ay= x.

4. Oct 4, 2005

Ouabache

An algebraic property of logarithms may also be useful here. If you cannot find them in your text, here is an online reference. Pay particular attention to the table of identities.

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