Basic Math Examples

$125 = 5^{3 y}$

Step 1

Rewrite the equation as $5^{3 y} = 125$ .

$5^{3 y} = 125$

Step 2

Create equivalent expressions in the equation that all have equal bases.

$5^{3 y} = 5^{3}$

Step 3

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$3 y = 3$

Step 4

Divide each term in $3 y = 3$ by $3$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $3 y = 3$ by $3$ .

$\frac{3 y}{3} = \frac{3}{3}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{3 y}{3} = \frac{3}{3}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{3}{3}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Divide $3$ by $3$ .

$y = 1$