Exponential function in terms of logarithms

[dimensionless]

Homework Statement

Express $$b^{x}$$ as a function of logarithms.

Homework Equations

There are a couple of equations in the attempted solution. I can't say if they are actually relevant

The Attempt at a Solution

I've investigated the property
$$y = log_{b}(b^{y}),$$
and also
$$log_{b}(y) = \frac{log_{k}(y)}{log_{k}(b)}$$

This hasn't help me any.

 

[dimensionless]

I got it. It's

$$b^{x} = e^{x ln(b)} = b + \frac{x ln(b)}{1!}+ \frac{(x ln(b))^{2}}{2!}+ \frac{(x ln(b))^{3}}{3!}+ \frac{(x ln(b))^{4}}{4!}+...$$

 

[GoldPheonix]

Never mind, my mistake.