Question

25^(x-1)
=5^(2x-1)-100
find x please​

Answer 1

Answer:

2

Step-by-step explanation:

5  

2x−2

=5  

2x−1

−100

shift  5  

2x−2

 to the left hand side

Now, Multiply the equation with -1

5  

2x−1

−5  

2x−2

=100

5  

2x−2

(5−1)=100

5  

2x−2

=  

4

100

​

 

25  

x−1

=25

              ( ∵ 5  

2x−2

=(5  

2

)  

x−1

 

)

now,

x−1=1

x=2