Finite Math Examples

$4 \log_{16} (x^{2}) - \log_{2} (6 x + 8) = - 1$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Simplify $4 \log_{16} (x^{2})$ by moving $4$ inside the logarithm.

$\log_{16} ({(x^{2})}^{4}) - \log_{2} (6 x + 8) = - 1$

Step 1.2

Multiply the exponents in ${(x^{2})}^{4}$ .

Tap for more steps...

Step 1.2.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\log_{16} (x^{2 \cdot 4}) - \log_{2} (6 x + 8) = - 1$

Step 1.2.2

Multiply $2$ by $4$ .

$\log_{16} (x^{8}) - \log_{2} (6 x + 8) = - 1$

Step 2

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

$x = - 1, 4$

Step 3