Question

if5^6 ×5^2x =5^10,then find x​

Answer 1

Answer:

x=2

Step-by-step explanation:

5^(10-6)=5^2x

2x=4

x=2

Answer 2

To find : value of $x$ .

Given : $5^{6} \times 5^{2x} = 5^{10}$

Solution :

• Product law: According to this law if bases of two terms are same then their powers are added keeping the base same. i.e. $a^{m}\times a^{n}=a^{m+n}$

• According to above law we solve .

• $5^{6} \times 5^{2x} = 5^{10}$  

       $5^{6 +2x} = 5^{10}$

• Here bases of both LHS and RHS are equal then  therefore , we equate powers of both LHS and RHS .
• $6 + 2x = 10$
• Now , using transposition method we find value of $x$ .

• $6 + 2x = 10$  

      $2x = 10 - 6 \\2x = 4 \\x = 2$

hence , value of $x$ is $2$ .