Solve for x log of 5x=3

$\log (5) x = 3$

Step 1

Divide each term in $\log (5) x = 3$ by $\log (5)$ .

$\frac{\log (5) x}{\log (5)} = \frac{3}{\log (5)}$

Step 2

Simplify the left side.

Cancel the common factor of $\log (5)$ .

Cancel the common factor.

$\frac{\log (5) x}{\log (5)} = \frac{3}{\log (5)}$

Divide $x$ by $1$ .

$x = \frac{3}{\log (5)}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{3}{\log (5)}$

Decimal Form:

$x = 4.29202967 \dots$