Question

If 2^x=10 and 10^y=128, find x*y.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

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➭If 2^x=10 and 10^y=128, find x*y.

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➭$\large{ \sf{xy = 7}}$

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• 2^x= 10
• 10^y=128

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• value of xy?

$\large{ \sf{ \implies{ {2}^{x} = 10}}}.....( \: equation \: 1) \\ \\ \large{ \sf{ \implies{ {10}^{y} = 128}}}....(equation \: 2) \\ \\ \large{ \sf{ \purple{substituting \: 10 \: in \: eq.(2)}}} \\ \\ \large{ \sf{ \implies{( {2}^{x} ) {}^{y} = 128}}} \\ \\ \large{ \sf{ \implies{ {2}^{xy} = 128}}} \\ \\ \large{ \sf{ \implies{ {2}^{xy} = {2}^{7} }}} \\ \large{ \sf{ \red{(128 = {2}^{7}) }}} \\ \\ \large{ \sf{ \implies{ \boxed{ \green{xy = 7}}}}}$

$\large{ \bold{ \pink{required \: answer \: is \: 7}}}$