Solve for x log base 5 of 5x+9 = log base 5 of 6x

$\log_{5} (5 x + 9) = \log_{5} (6 x)$

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

$5 x + 9 = 6 x$

Solve for $x$ .

Tap for more steps…

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

Tap for more steps…

Subtract $6 x$ from both sides of the equation.

$5 x + 9 - 6 x = 0$

Subtract $6 x$ from $5 x$ .

$- x + 9 = 0$

Subtract $9$ from both sides of the equation.

$- x = - 9$

Multiply each term in $- x = - 9$ by $- 1$

Tap for more steps…

Multiply each term in $- x = - 9$ by $- 1$ .

$(- x) \cdot - 1 = (- 9) \cdot - 1$

Multiply $(- x) \cdot - 1$ .

Tap for more steps…

Multiply $- 1$ by $- 1$ .

$1 x = (- 9) \cdot - 1$

Multiply $x$ by $1$ .

$x = (- 9) \cdot - 1$

Multiply $- 9$ by $- 1$ .

$x = 9$

Solve for x log base 5 of 5x+9 = log base 5 of 6x

Download our
App from the store