# Math Help - Logarithms

1. ## Logarithms

$log_5 326$

$\frac{log\; 326}{log\; 5}$

$3.596$

is this right?

2. Yep.

3. Originally Posted by R3ap3r
$log_5 326$

$\frac{log\; 326}{log\; 5}$

$3.596$

is this right?
Indeedy it is!

4. Hello, R3ap3r!

$\log_5 326 \;=\;\frac{\log326}{\log5} \;=\;3.595601506 \;\approx\;3.596$

Is this right? . . . . . Right!

$\text{If }\log_5326 \:=\:3.596\text{, then: }\:5^{3.596} \:=\:326$ . . . Is this true?

The calculator says: . $5^{3.596} \;=\;326.2091477$ . . . close enough!

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

For example, use $3.5956015$
Then:. . $5^{3.5956015} \;=\;325.999997$ . . . . Yes!