Algebra Examples

$\log_{5} (3 - 2 x) = \log_{5} (- 3 x)$

Step 1

For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.

$3 - 2 x = - 3 x$

Step 2

Solve for $x$ .

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Step 2.1

Move all terms containing $x$ to the left side of the equation.

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Step 2.1.1

Add $3 x$ to both sides of the equation.

$3 - 2 x + 3 x = 0$

Step 2.1.2

Add $- 2 x$ and $3 x$ .

$3 + x = 0$

Step 2.2

Subtract $3$ from both sides of the equation.

$x = - 3$