What is log_{25}(20000/24)+1 ?

The solution to log_{25}(20000/24)+1 is 3+log_{5}(2)-log_{25}(3)

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simplify log_{25}(20000/24)+1

simplify

lo g_{25} (\frac{20000}{24}) + 1

3 + lo g_{5} (2) - lo g_{25} (3)

Decimal Notation

3.08937 \dots

Solution steps

lo g_{25} (\frac{20000}{24}) + 1

lo g_{25} (\frac{20000}{24}) = 2 + lo g_{5} (2) - lo g_{25} (3)

= 2 + lo g_{5} (2) - lo g_{25} (3) + 1

Add the numbers:

2 + 1 = 3

= 3 + lo g_{5} (2) - lo g_{25} (3)

lo g_{4} (3) - lo g_{4} (5)

3 lo g_{2} (x) - 4 lo g_{2} (x + 3) + lo g_{2} (y)

lo g_{a} (x \cdot y)

ln (7) - ln (14)

4 lo g_{10} (2) + lo g_{10} (3)

What is log_{25}(20000/24)+1 ?
The solution to log_{25}(20000/24)+1 is 3+log_{5}(2)-log_{25}(3)