Solve log 17 ( 7 - x ) = - 2

Evaluate

lo g_{10} (17) \times (7 - x) = - 2

Divide both sides

\frac{lo g _{10} ( 17 ) \times ( 7 - x )}{lo g _{10} ( 17 )} = \frac{- 2}{lo g _{10} ( 17 )}

Divide the numbers

7 - x = \frac{- 2}{lo g _{10} ( 17 )}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

7 - x = - \frac{2}{lo g _{10} ( 17 )}

Move the constant to the right side

- x = - \frac{2}{lo g _{10} ( 17 )} - 7

Subtract the numbers

More Steps

- x = - lo g_{17} (100 \times 1 7^{7})

Change the signs on both sides of the equation

x = lo g_{17} (100 \times 1 7^{7})

Solution

More Steps

x = 2 lo g_{17} (10) + 7

Alternative Form

x \approx 8.625423

Solve the equation