Algebra Examples

$5 \cdot 7^{2 y} = 175$

Step 1

Simplify.

Tap for more steps...

Step 1.1

Divide each term in $5 \cdot 7^{2 y} = 175$ by $5$ .

$\frac{5 \cdot 7^{2 y}}{5} = \frac{175}{5}$

Step 1.2

Divide $175$ by $5$ .

$35$

Step 1.3

Reduce by cancelling the common factors.

$7^{2 y} = 35$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(7)$ of the right side $(35)$ equals the exponent $(2 y)$ .

$\log_{7} (35) = 2 y$