How do I evaluate this log expression?

[Cuisine123]

Homework Statement

5^(log₅10-1)

Homework Equations

n/a

The Attempt at a Solution

I have no idea how to approach this.

 

[CompuChip]

Well, you know what

$$5^{\log_5(x)}$$
is, don't you?

Then there are two ways to solve the question: you can split the sum in the power to a multiplication:
$$5^{a + b} = 5^a \cdot 5^b$$

or you can first write 1 as a logarithm (base 5), then combine the two logarithms into one.

 

[Bohrok]

Do you know that exponentials and logarithms are inverses of each other?
y = a^x $\Longrightarrow$ x = log_ay
Then, after substituting the x, $$y = a^{\log_a y}$$
So what is $$5^{\log_5 x}$$ ?

Perhaps you should review http://en.wikipedia.org/wiki/Logarithm" .