SOLUTION: Expand the expression: log(4)((3x^1)(y^3)) Condense: log(7)9log(7)55 Evaluate log(12)782 to three decimal places. Use the change-of-base formula to evaluate the expression: log(

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Question 595324: Expand the expression: log(4)((3x^1)(y^3))
Condense: log(7)9log(7)55
Evaluate log(12)782 to three decimal places.
Use the change-of-base formula to evaluate the expression: log(4)7
Find the inverse function of y=log(5)x

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Expand the expression:
log(4)((3x^1)(y^3))
=log4(3x^1)+log4(y^3)
=log4(3)+log4(x)+3log4(y)
..
Condense:
I assumed you left out a "+" sign in given expression
log(7)9+log(7)55
=log7(9*55)
=log7(495)≈3.189
..
Evaluate log(12)782 to three decimal places.
log(12)782
using calculator and change of base formula:
log(782)/log(12)≈2.681
Use the change-of-base formula to evaluate the expression:
log(4)7
=log(7)/log(4)≈1.404
..
Find the inverse function of
y=log(5)x
interchane x and y, then solve for y
x=log5(y)
y=5^x

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