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Popular >

simplify log_{b}(16/25)

Solution

simplify

lo g_{b} (\frac{16}{25})

Solution

4 lo g_{b} (2) - 2 lo g_{b} (5)

Solution steps

lo g_{b} (\frac{16}{25})

Apply log rule:

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

lo g_{b} (\frac{16}{25}) = lo g_{b} (16) - lo g_{b} (25)

= lo g_{b} (16) - lo g_{b} (25)

lo g_{b} (16) = 4 lo g_{b} (2)

lo g_{b} (25) = 2 lo g_{b} (5)

= 4 lo g_{b} (2) - 2 lo g_{b} (5)

Popular Examples

simplify 5log_{10}(x)+log_{10}(20)-log_{10}(10)simplify

5 lo g_{10} (x) + lo g_{10} (20) - lo g_{10} (10)

simplify log_{10}(80)-2*log_{10}(4)simplify

lo g_{10} (80) - 2 \cdot lo g_{10} (4)

expand log_{5}((sqrt(x))/(25y^3))expand

lo g_{5} (\frac{x}{25 y ^{3}})

simplify log_{10}(a)+3log_{10}(c)simplify

lo g_{10} (a) + 3 lo g_{10} (c)

simplify-log_{10}(1.7*10^{-9})simplify

- lo g_{10} (1.7 \cdot 1 0^{- 9})

Frequently Asked Questions (FAQ)

What is log_{b}(16/25) ?
The solution to log_{b}(16/25) is 4log_{b}(2)-2log_{b}(5)