# 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 http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/calctopic1/logs.html [Broken]. Pay particular attention to the table of identities.

Last edited by a moderator: May 2, 2017