Solve -log(40 x (10^(-9)))

Evaluate

- lo g_{10} (40 x (1 0^{- 9}))

Calculate

- lo g_{10} (40 x \times 1 0^{- 9})

Multiply the numbers

- lo g_{10} (40 \times 1 0^{- 9} x)

Rewrite the expression

More Steps

- lo g_{10} (\frac{40 x}{1 0 ^{9}})

Use lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y) to transform the expression

- (lo g_{10} (40 x) - lo g_{10} (1 0^{9}))

Simplify the expression

More Steps

- (1 + 2 lo g_{10} (2) + lo g_{10} (x) - lo g_{10} (1 0^{9}))

Use lo g_{a} a^{n} = n to simplify the expression

- (1 + 2 lo g_{10} (2) + lo g_{10} (x) - 9)

Subtract the numbers

- (- 8 + 2 lo g_{10} (2) + lo g_{10} (x))

Solution

8 - 2 lo g_{10} (2) - lo g_{10} (x)

Expand the expression