Solve for x log base 4 of x+1 = log base 4 of x+10

$\log_{4} (x + 1) = \log_{4} (x + 10)$

Step 1

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

$x + 1 = x + 10$

Step 2

Solve for $x$ .

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

Subtract $x$ from both sides of the equation.

$x + 1 - x = 10$

Combine the opposite terms in $x + 1 - x$ .

Subtract $x$ from $x$ .

$0 + 1 = 10$

Add $0$ and $1$ .

$1 = 10$

Since $1 \neq 10$ , there are no solutions.

No solution