Trigonometry Examples

$\log_{5} (3 {(\frac{1 - \sqrt{47}}{6})}^{2} - 1) - \log_{5} ((\frac{1 - \sqrt{47}}{6}) + 3) = 0$

Step 1

Rewrite the equation in exponential form using the definition of a logarithm. If $x$ and $b$ are positive real numbers and $b \neq 1$ , then $y = l o g (b) (x)$ is equivalent to $b^{y} = x$ .

$5^{0} = \frac{295 - \sqrt{47}}{314}$

Step 2

The left side $1$ does not equal to the right side $0.91765715$ , which means that the given statement is false.

False