What is simplify log_{10}(16)-log_{10}(8) ?

The solution to simplify log_{10}(16)-log_{10}(8) is log_{10}(2)

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Write as a Single Logarithm natural log of 16- natural log of 8

simplify

lo g_{10} (16) - lo g_{10} (8)

lo g_{10} (2)

Decimal Notation

0.30102 \dots

Solution steps

lo g_{10} (16) - lo g_{10} (8)

Apply log rule:

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

lo g_{10} (16) - lo g_{10} (8) = lo g_{10} (\frac{16}{8})

= lo g_{10} (\frac{16}{8})

Divide the numbers:

\frac{16}{8} = 2

= lo g_{10} (2)

x, lo g_{x} (8000) = 3

y, lo g_{4} (64) = y

lo g_{3} (7)

x, lo g_{10} (5 x) = 3

x, lo g_{4} (2) = x

What is simplify log_{10}(16)-log_{10}(8) ?
The solution to simplify log_{10}(16)-log_{10}(8) is log_{10}(2)