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Gaurav Seth 1 week, 5 days ago

whenever you have log on both sides you can remove log from both sides

now

on removing log from both sides..

log(2x+3)=log7

Let us simplify the expression,

2x+3=7

2x=7−3

2x=4

x=4/2

=2

Posted by Aman B 2 weeks ago

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Posted by ꪊꪑꪖꪀᧁ ΡꪖTꫀꪶ 2 weeks, 2 days ago

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Abhinandan Verma 2 weeks, 1 day ago

Set of all digits in our number system is called integers

Posted by Divyanshi Gehlot 2 weeks, 3 days ago

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Gaurav Seth 2 weeks, 2 days ago

n(A × B) = 5(4) = 20

n[(A × B) ∩ (B × A)] = 9

Step by step explanation:

Solution :

Given:

n(A) = 5 and n(B) = 4

Thus, we have:

n(A × B) = 5(4) = 20

A and B are two sets having 3 elements in common.

Now,

Let:

A = (a, a, a, b, c) and B = (a, a, a, d)

Thus, we have:

(A × B) = {(a, a), (a, a), (a, a), (a, d), (a, a), (a, a), (a, a), (a, d), (a, a), (a, a), (a, a), (a, d), (b, a),

(b, a), (b, a), (b, d), (c, a), (c, a), (c, a), (c, d)}

(B × A) = {(a, a), (a, a), (a, a), (a, b), (a, c), (a, a), (a, a), (a, a), (a, b), (a, c), (a, a), (a, a), (a, a),

(a, b), (a, c), (d, a), (d, a), (d, a), (d, b), (d, c)}

[(A × B) ∩ (B × A)] = {(a, a), (a, a), (a, a), (a, a), (a, a), (a, a), (a, a), (a, a), (a, a)}

∴ n[(A × B) ∩ (B × A)] = 9

Posted by Rim Jain 3 weeks ago

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⚜💫🌌Brainly Buddy🌌💫⚜ 3 weeks, 5 days ago

a,b,c,d are in GP ,means :

b² = ac

c² = bd

ad = bc

For a²+b² , b²+c² , c²+d² in GP , we need to prove :

(b²+c²)² = (a²+b²)(c²+d²)

Solving LHS:

(b²+c²)²= b⁴ + c⁴ + 2b²c²

Solving RHS:

(a²+b²)(c²+d²) = a²c²+a²d²+b²c²+b²d²

= a²c² + b²d² + 2b²c² (because ad=bc)

= (ac)² + (bd)² + 2b²c²

= b⁴ + c⁴ + 2b²c² (because ac = b² , bd = c²)

Hence ,

a²+b² , b²+c² , c²+d² are in GP

b² = ac

c² = bd

ad = bc

For a²+b² , b²+c² , c²+d² in GP , we need to prove :

(b²+c²)² = (a²+b²)(c²+d²)

Solving LHS:

(b²+c²)²= b⁴ + c⁴ + 2b²c²

Solving RHS:

(a²+b²)(c²+d²) = a²c²+a²d²+b²c²+b²d²

= a²c² + b²d² + 2b²c² (because ad=bc)

= (ac)² + (bd)² + 2b²c²

= b⁴ + c⁴ + 2b²c² (because ac = b² , bd = c²)

Hence ,

a²+b² , b²+c² , c²+d² are in GP

Posted by Sahil Manchanda 4 weeks ago

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Arinan Aggarwal 8 hours ago

Yes according to present syllabus relation and types of relations chapter is present in applied maths

Posted by Selva Haritha 1 month, 1 week ago

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Sahil Singh 1 day, 11 hours ago

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