Evaluate 3^( log base 3 of 5- log base 3 of 4)

$3^{\log_{3} (5) - \log_{3} (4)}$

Step 1

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$3^{\log_{3} (\frac{5}{4})}$

Step 2

Exponentiation and log are inverse functions.

$\frac{5}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{4}$

Decimal Form:

$1.25$

Mixed Number Form:

$1 \frac{1}{4}$