Use the Laws of logarithms to rewrite the expression
ln ( x 18 y 8 z 5 ) \displaystyle {\ln{{\left({x}^{{{18}}}\sqrt{{{\frac{{{y}^{{{8}}}}}{{{z}^{{{5}}}}}}}}\right)}}} ln ( x 18 z 5 y 8 )
in a form with no logarithm of a product, quotient or power.
After rewriting we have
ln ( x 18 y 8 z 5 ) = A ln ( x ) + B ln ( y ) + C ln ( z ) \displaystyle {\ln{{\left({x}^{{{18}}}\sqrt{{{\frac{{{y}^{{{8}}}}}{{{z}^{{{5}}}}}}}}\right)}}}={A}{\ln{{\left({x}\right)}}}+{B}{\ln{{\left({y}\right)}}}+{C}{\ln{{\left({z}\right)}}} ln ( x 18 z 5 y 8 ) = A ln ( x ) + B ln ( y ) + C ln ( z )
with the constant
A = \displaystyle {A}= A = Preview Question 6 Part 1 of 3
the constant
B = \displaystyle {B}= B = Preview Question 6 Part 2 of 3
and the constant
C = \displaystyle {C}= C = Preview Question 6 Part 3 of 3 Submit Try a similar question
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Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)