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Popular >

simplify log_{10}(ab^x)

Solution

simplify

lo g_{10} (a b^{x})

Solution

lo g_{10} (a) + x lo g_{10} (b)

Solution steps

lo g_{10} (a b^{x})

Apply log rule:

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

lo g_{10} (a b^{x}) = lo g_{10} (a) + lo g_{10} (b^{x})

= lo g_{10} (a) + lo g_{10} (b^{x})

Simplify

lo g_{10} (b^{x}) : x lo g_{10} (b)

= lo g_{10} (a) + x lo g_{10} (b)

Popular Examples

simplify log_{10}((x(x+2))/((x+4)^2))simplify

lo g_{10} (\frac{x ( x + 2 )}{( x + 4 ) ^{2}})

simplify 3ln(5/3)simplify

3 ln (\frac{5}{3})

simplify ln(6)+ln(x)simplify

ln (6) + ln (x)

simplify 75-35+10log_{10}((301)/(67.2))simplify

75 - 35 + 10 lo g_{10} (\frac{301}{67.2})

simplify (60log_{3}(10)-60log_{3}(7))/1 simplify

\frac{60 lo g _{3} ( 10 ) - 60 lo g _{3} ( 7 )}{1}

Frequently Asked Questions (FAQ)

What is log_{10}(ab^x) ?
The solution to log_{10}(ab^x) is log_{10}(a)+xlog_{10}(b)