Trigonometry Examples

$\log_{3} (8) - \log_{3} (7) = \log_{3} (6)$

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 $b^{y} = x$ .

$3^{\log_{3} (6)} = \frac{8}{7}$

Step 2

The left side $6$ does not equal to the right side $1.\overline{142857}$ , which means that the given statement is false.

False