Precalculus Examples

$\log_{2} (x^{3}) + \log_{6} (3) = 4 \log_{6} (3)$

Step 1

Simplify $4 \log_{6} (3)$ .

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Step 1.1

Simplify $4 \log_{6} (3)$ by moving $4$ inside the logarithm.

$\log_{2} (x^{3}) + \log_{6} (3) = \log_{6} (3^{4})$

Step 1.2

Raise $3$ to the power of $4$ .

$\log_{2} (x^{3}) + \log_{6} (3) = \log_{6} (81)$

Step 2

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

$x \approx 1.52959232$

Step 3