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Popular >

simplify log_{10}(AB^4)

Solution

simplify

lo g_{10} (A B^{4})

Solution

lo g_{10} (A) + 4 lo g_{10} (B)

Solution steps

lo g_{10} (A B^{4})

Apply log rule:

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

lo g_{10} (A B^{4}) = lo g_{10} (A) + lo g_{10} (B^{4})

= lo g_{10} (A) + lo g_{10} (B^{4})

Simplify

lo g_{10} (B^{4}) : 4 lo g_{10} (B)

= lo g_{10} (A) + 4 lo g_{10} (B)

Popular Examples

simplify log_{10}(z^4x)simplify

lo g_{10} (z^{4} x)

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ln (\frac{x - 5}{e ^{6 x}})

simplify log_{10}(((y^{5/3}))/(x^3*z^4))simplify

lo g_{10} \frac{( y ^{\frac{5}{3}} )}{x ^{3} \cdot z ^{4}}

simplify log_{10}(10(10x^{100})/(10))simplify

lo g_{10} (10 \frac{10 x ^{100}}{10})

simplify log_{a}(x^3y^2)simplify

lo g_{a} (x^{3} y^{2})

Frequently Asked Questions (FAQ)

What is log_{10}(AB^4) ?
The solution to log_{10}(AB^4) is log_{10}(A)+4log_{10}(B)