# a) use properties of logarithmic to condence he logarithmic expressi.pdf

A

a) use properties of logarithmic to condence he logarithmic expression below. write the expression as a single logarithmic whose coefficient in 1 log y +2 logz (since m log a= log a^m) =log y + logz^2 (since log m+ lg n =log mn) =log yz^2 b) Use properties of logarithmic to expand logarithmic expression as possible. log base b(y^2x) log base b y^2 +log base b x 2log base b y +log base b x c) solve logarithmic equation. be sure to reject any values of x that is not in the domain of the original expression . Give exact answer. log m -log n =log m/n ln(x-2)/(x+6)=ln(x-1)/(x+12) (x-2)/(x+6)=(x-1)/(x+12) (x-2)*(x+12)=(x+6)(x-1) x^2 +10x -24 =x^2 +5x -6 5x=18 x=18/5 d)find f(g(x)) and g(f(x)) and determine whether the pair of functions fand g are inverses of each other f(x)=4x and g(x)=4x so f(g(x))=4(4x)=16x so g(f(x))=4(4x)=16x e)solve the exponetial equation. express the solution in natural logarithmic. than obtain decimal. 5^(x+2)=401 x+2=log base5 401 x=-2+log base5 401 x=-2 +(ln 401)/(ln 5) x=1.72 Solution a) use properties of logarithmic to condence he logarithmic expression below. write the expression as a single logarithmic whose coefficient in 1 log y +2 logz (since m log a= log a^m) =log y + logz^2 (since log m+ lg n =log mn) =log yz^2 b) Use properties of logarithmic to expand logarithmic expression as possible. log base b(y^2x) log base b y^2 +log base b x 2log base b y +log base b x c) solve logarithmic equation. be sure to reject any values of x that is not in the domain of the original expression . Give exact answer. log m -log n =log m/n ln(x-2)/(x+6)=ln(x-1)/(x+12) (x-2)/(x+6)=(x-1)/(x+12) (x-2)*(x+12)=(x+6)(x-1) x^2 +10x -24 =x^2 +5x -6 5x=18 x=18/5 d)find f(g(x)) and g(f(x)) and determine whether the pair of functions fand g are inverses of each other f(x)=4x and g(x)=4x so f(g(x))=4(4x)=16x so g(f(x))=4(4x)=16x e)solve the exponetial equation. express the solution in natural logarithmic. than obtain decimal. 5^(x+2)=401 x+2=log base5 401 x=-2+log base5 401 x=-2 +(ln 401)/(ln 5) x=1.72.

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### a) use properties of logarithmic to condence he logarithmic expressi.pdf

• 1. a) use properties of logarithmic to condence he logarithmic expression below. write the expression as a single logarithmic whose coefficient in 1 log y +2 logz (since m log a= log a^m) =log y + logz^2 (since log m+ lg n =log mn) =log yz^2 b) Use properties of logarithmic to expand logarithmic expression as possible. log base b(y^2x) log base b y^2 +log base b x 2log base b y +log base b x c) solve logarithmic equation. be sure to reject any values of x that is not in the domain of the original expression . Give exact answer. log m -log n =log m/n ln(x-2)/(x+6)=ln(x-1)/(x+12) (x-2)/(x+6)=(x-1)/(x+12) (x-2)*(x+12)=(x+6)(x-1) x^2 +10x -24 =x^2 +5x -6 5x=18 x=18/5 d)find f(g(x)) and g(f(x)) and determine whether the pair of functions fand g are inverses of each other f(x)=4x and g(x)=4x so f(g(x))=4(4x)=16x so g(f(x))=4(4x)=16x e)solve the exponetial equation. express the solution in natural logarithmic. than obtain decimal. 5^(x+2)=401 x+2=log base5 401 x=-2+log base5 401 x=-2 +(ln 401)/(ln 5) x=1.72 Solution a) use properties of logarithmic to condence he logarithmic expression below. write the expression as a single logarithmic whose coefficient in 1 log y +2 logz (since m log a= log a^m)
• 2. =log y + logz^2 (since log m+ lg n =log mn) =log yz^2 b) Use properties of logarithmic to expand logarithmic expression as possible. log base b(y^2x) log base b y^2 +log base b x 2log base b y +log base b x c) solve logarithmic equation. be sure to reject any values of x that is not in the domain of the original expression . Give exact answer. log m -log n =log m/n ln(x-2)/(x+6)=ln(x-1)/(x+12) (x-2)/(x+6)=(x-1)/(x+12) (x-2)*(x+12)=(x+6)(x-1) x^2 +10x -24 =x^2 +5x -6 5x=18 x=18/5 d)find f(g(x)) and g(f(x)) and determine whether the pair of functions fand g are inverses of each other f(x)=4x and g(x)=4x so f(g(x))=4(4x)=16x so g(f(x))=4(4x)=16x e)solve the exponetial equation. express the solution in natural logarithmic. than obtain decimal. 5^(x+2)=401 x+2=log base5 401 x=-2+log base5 401 x=-2 +(ln 401)/(ln 5) x=1.72
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