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Popular Functions >

simplify log_{x^3}(x^6)

Solution

simplify

lo g_{x^{3}} (x^{6})

Solution

6 lo g_{x^{3}} (x)

Solution steps

lo g_{x^{3}} (x^{6})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), assuming x > 0

lo g_{x^{3}} (x^{6}) = 6 lo g_{x^{3}} (x)

= 6 lo g_{x^{3}} (x)

Popular Examples

f(x)=cosh(3x)-sinh(3x)

f(x)=(\sqrt[3]{x}-1)/(\sqrt[4]{x)-1}

g(x)=\sqrt[3]{x-2}+1

Frequently Asked Questions (FAQ)

What is log_{x^3}(x^6) ?
The solution to log_{x^3}(x^6) is 6log_{x^3}(x)