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Olin [163]
3 years ago
11

5. I need help with question in the attached picture!

Mathematics
1 answer:
igomit [66]3 years ago
3 0

ANSWER

x=100,y=10

EXPLANATION

The given logarithmic equations are;

log_{10}( {x}^{2}  {y}^{3} )  = 7

This implies that,

{x}^{2}  {y}^{3}  =  {10}^{7} ...(1)

and

log_{10}( \frac{x}{y} ) = 1

This implies that,

\frac{x}{y}  =  {10}^{1}

x = 10y...(2)

Put equation (2) into equation (1)

{(10y)}^{2}  {y}^{3}  =  {10}^{7}

10 ^{2} y^{2}  {y}^{3}  =  {10}^{7}

{y}^{5}  =  {10}^{5}

Hence y=10.

This implies

x = 10(10) = 100

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