Trigonometry Examples

$\log (132 x) - 1 = \log (13) (x - 2)$

Step 1

Simplify $\log (13) (x - 2)$ .

Tap for more steps...

Step 1.1

Apply the distributive property.

$\log (132 x) - 1 = \log (13) x + \log (13) \cdot - 2$

Step 1.2

Multiply $\log (13) \cdot - 2$ .

Tap for more steps...

Step 1.2.1

Reorder $\log (13)$ and $- 2$ .

$\log (132 x) - 1 = \log (13) x - 2 \cdot \log (13)$

Step 1.2.2

Simplify $- 2 \cdot \log (13)$ by moving $2$ inside the logarithm.

$\log (132 x) - 1 = \log (13) x - \log (13^{2})$

Step 1.3

Raise $13$ to the power of $2$ .

$\log (132 x) - 1 = \log (13) x - \log (169)$

Step 1.4

Reorder factors in $\log (13) x - \log (169)$ .

$\log (132 x) - 1 = x \log (13) - \log (169)$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx 0.00044878, 3.49366196$

Step 3