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Popular >

simplify log_{7}(49x)

Solution

simplify

lo g_{7} (49 x)

Solution

2 + lo g_{7} (x)

Solution steps

lo g_{7} (49 x)

Factor the number:

49 = 7^{2}

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

Apply log rule:

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

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

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

Apply log rule:

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

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

= 2 + lo g_{7} (x)

Popular Examples

domain of f(x)=4(ln(5)-ln(x))+(4ln(x)-ln(25))domain

f (x) = 4 (ln (5) - ln (x)) + (4 ln (x) - ln (25))

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simplify 3log_{10}(8)+log_{10}(9)-log_{10}(36)simplify

3 lo g_{10} (8) + lo g_{10} (9) - lo g_{10} (36)

simplify log_{3}(x^3y^4)simplify

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f(k)=log_{10}(6)(k^2-36)-log_{10}(6k)-6

f (k) = lo g_{10} (6) (k^{2} - 36) - lo g_{10} (6 k) - 6

Frequently Asked Questions (FAQ)

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