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Popular >

simplify log_{10}(45)-log_{10}(4.5)

Solution

simplify

lo g_{10} (45) - lo g_{10} (4.5)

Solution

1

Solution steps

lo g_{10} (45) - lo g_{10} (4.5)

Apply log rule:

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

lo g_{10} (45) - lo g_{10} (4.5) = lo g_{10} (\frac{45}{4.5})

= lo g_{10} (\frac{45}{4.5})

Divide the numbers:

\frac{45}{4.5} = 10

= lo g_{10} (10)

Apply log rule:

lo g_{a} (a) = 1

= 1

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Frequently Asked Questions (FAQ)

What is log_{10}(45)-log_{10}(4.5) ?
The solution to log_{10}(45)-log_{10}(4.5) is 1