What is simplify-log_{10}((9.36)/(6.76)) ?

The solution to simplify-log_{10}((9.36)/(6.76)) is -log_{10}(18)+log_{10}(13)

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simplify-log_{10}((9.36)/(6.76))

simplify

- lo g_{10} (\frac{9.36}{6.76})

- lo g_{10} (18) + lo g_{10} (13)

Decimal Notation

- 0.14132 \dots

Solution steps

- lo g_{10} (\frac{9.36}{6.76})

\frac{9.36}{6.76} = \frac{18}{13}

= - lo g_{10} (\frac{18}{13})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

- lo g_{10} (\frac{18}{13}) = - (lo g_{10} (18) - lo g_{10} (13))

= - (lo g_{10} (18) - lo g_{10} (13))

Apply the distributive law:

- (a - b) = - a + b

- (lo g_{10} (18) - lo g_{10} (13)) = - lo g_{10} (18) + lo g_{10} (13)

= - lo g_{10} (18) + lo g_{10} (13)

lo g_{10} (\frac{x ^{2} y ^{4}}{5})

ln (\frac{1}{e ^{750}})

200 ln (150 - s) - 200 ln (130)

ln (\frac{x ^{3} x ^{2} + 4}{( x + 4 ) ^{2}})

1200 lo g_{2} (\frac{3}{2} \cdot (\frac{80}{81})^{\frac{1}{6}}) - 701.96

What is simplify-log_{10}((9.36)/(6.76)) ?
The solution to simplify-log_{10}((9.36)/(6.76)) is -log_{10}(18)+log_{10}(13)