Question

${5}^{ \sqrt{ log_{5}(7) } } - {7}^{ \sqrt{ log_{7}(5) } }$
find the value of given equation​

Answer 1

Answer:

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Answer 2

Answer:

x = 4

Step-by-step explanation:

x = 4

Consider the given equation.

log

7

log

5

(

x+5

+

x

)=0

log

5

(

x+5

+

x

)=7

0

=1

x+5

+

x

=5

1

=5

x+5

=5−

x

On squaring both sides, we get

x+5=25+x−10

x

x

=2

x=4

Hence, this is the answer.

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