Trigonometry Examples

$15 \log (2 x) = 60$

Step 1

Simplify $15 \log (2 x)$ .

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Step 1.1

Simplify $15 \log (2 x)$ by moving $15$ inside the logarithm.

$\log ({(2 x)}^{15}) = 60$

Step 1.2

Apply the product rule to $2 x$ .

$\log (2^{15} x^{15}) = 60$

Step 1.3

Raise $2$ to the power of $15$ .

$\log (32768 x^{15}) = 60$

Step 2

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

No solution

Step 3