Trigonometry Examples

$\frac{1}{2} = \log (\frac{7}{49})$

Step 1

Rewrite the equation.

$\log (\frac{1}{7}) = \frac{1}{2}$

Step 2

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 $b^{y} = x$ .

$10^{\frac{1}{2}} = \frac{1}{7}$

Step 3

The left side $3.16227766$ does not equal to the right side $0.\overline{142857}$ , which means that the given statement is false.

False