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Popular >

simplify log_{7}(49k)

Solution

simplify

lo g_{7} (49 k)

Solution

2 + lo g_{7} (k)

Solution steps

lo g_{7} (49 k)

Factor the number:

49 = 7^{2}

= lo g_{7} (7^{2} k)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{7} (7^{2} k) = lo g_{7} (7^{2}) + lo g_{7} (k)

= lo g_{7} (7^{2}) + lo g_{7} (k)

Apply log rule:

lo g_{a} (a^{b}) = b

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

= 2 + lo g_{7} (k)

Popular Examples

simplify-log_{10}(1.8x10^{-5})simplify

- lo g_{10} (1.8 x 1 0^{- 5})

simplify 2log_{10}(3)+log_{10}(4)simplify

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

simplify log_{10}((z^3)/(ysqrt(x^5)))simplify

lo g_{10} (\frac{z ^{3}}{y x ^{5}})

simplify log_{b}(8/7)simplify

lo g_{b} (\frac{8}{7})

simplify log_{10}(2)-log_{10}(0.2)simplify

lo g_{10} (2) - lo g_{10} (0.2)

Frequently Asked Questions (FAQ)

What is log_{7}(49k) ?
The solution to log_{7}(49k) is 2+log_{7}(k)