What is 3log_{10}(4)-2log_{10}(7) ?

The solution to 3log_{10}(4)-2log_{10}(7) is log_{10}(64/49)

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simplify 3log_{10}(4)-2log_{10}(7)

simplify

3 lo g_{10} (4) - 2 lo g_{10} (7)

lo g_{10} (\frac{64}{49})

Decimal Notation

0.11598 \dots

Solution steps

3 lo g_{10} (4) - 2 lo g_{10} (7)

3 lo g_{10} (4) = lo g_{10} (4^{3})

- 2 lo g_{10} (7) = - lo g_{10} (7^{2})

= lo g_{10} (4^{3}) - lo g_{10} (7^{2})

Apply log rule:

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

lo g_{10} (4^{3}) - lo g_{10} (7^{2}) = lo g_{10} (\frac{4 ^{3}}{7 ^{2}})

= lo g_{10} (\frac{4 ^{3}}{7 ^{2}})

\frac{4 ^{3}}{7 ^{2}} = \frac{64}{49}

= lo g_{10} (\frac{64}{49})

(2 a^{6} - 6 a^{3}) 2

\frac{( - y ^{- 1} ) ^{- 3}}{( - y ^{2} ) ^{- 2}}

x^{3} \cdot \frac{1}{x}

12 \cdot 11 \cdot 10

\frac{47}{3}

What is 3log_{10}(4)-2log_{10}(7) ?
The solution to 3log_{10}(4)-2log_{10}(7) is log_{10}(64/49)