Question

if 2^4 + 3^2=5^x, then find x

pls send me fast​

Answer 1

Answer:

Solution

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By trial, x=2 is a root of the equation . Dividing the equation by 5

x

 we get

(

5

3

​

)

x

+(

5

4

​

)

x

=1

If x<2, then (3/5)

x

>(3/5)

2

and (4/5)

x

>(4/5)

2

  and so on

(3/5)

x

+(4/5)

x

>(3/5)

2

+(4/5)

2

=1

Hence (1) is not satisfied for any value of x<2.

Similarly, for x>2, we will always have the inequality (3/5)

x

+(4/5)

x

<1

Thus x=2 is the only root of the given equation. Note that it is immaterial how we found a root, but it is necessary to show that there are no other roots.

Step-by-step explanation:

Answer 2

Answer:

x=5

Step-by-step explanation:

Simple Powers and Exponents