simplify number raised to a logarithm exponent

**apm** · August 16th 2008, 03:28 PM

3^log325

thank you

**mr fantastic** · August 16th 2008, 03:42 PM

Originally Posted by apm

3^log325

thank you

Let $a^{\log_{a} b} = c$ . Take log to base a of both sides:

$\log_{a} b = \log_{a} c$ .

What do you conclude? So the answer to your question is ......

**Chop Suey** · August 16th 2008, 03:42 PM

$3^{\log_3{25}} = 25$

Because $3$ and $\log_3$ are inverse operations:

$3^{\log_3{x}} = x$

$\log_3{3} = 1$

$3^1 = 3 \implies 3^{\log_3{3}} = 3$

EDIT: Mr. F, you're too fast.

**apm** · August 16th 2008, 03:56 PM

thanks!

Thread: simplify number raised to a logarithm exponent

LinkBack

Thread Tools

Display

simplify number raised to a logarithm exponent

Similar Math Help Forum Discussions

Negative number raised to the two-thirds power

Proof that an odd number raised to an integral power is odd

[SOLVED] Finding the last two digits of a number raised to a large exponent

simplify by eliminating the zero exponent & negative exponent

Logarithm of base e raised to rational exponent

Search Tags