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Popular >

simplify log_{7}(2401x)

Solution

simplify

lo g_{7} (2401 x)

Solution

4 + lo g_{7} (x)

Solution steps

lo g_{7} (2401 x)

Factor the number:

2401 = 7^{4}

= lo g_{7} (7^{4} x)

Apply log rule:

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

lo g_{7} (7^{4} x) = lo g_{7} (7^{4}) + lo g_{7} (x)

= lo g_{7} (7^{4}) + lo g_{7} (x)

Apply log rule:

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

lo g_{7} (7^{4}) = 4

= 4 + lo g_{7} (x)

Popular Examples

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Frequently Asked Questions (FAQ)

What is log_{7}(2401x) ?
The solution to log_{7}(2401x) is 4+log_{7}(x)