Question

find the value of "X" 5x X 25 2 = 5 12​

Answer 1

Answer:

Step-by-step explanation:

5^x*25^2=5^12

5^x*5^4=5^12

5^x+4=5^12

x+4=12

x=12-4

x=8

Answer 2

Answer:

Here's the answer and explanation respectively:

Step-by-step explanation:

Answer: 5^8 X 25^2 = 5^124

Explanation: so here, 25^2 can also be written as (5^2)^2 so if we use the exponent rule of:

[ (a^n)^m = a^m*n] so this would give us 5^2*2 = 5^4

therefore,

5^x * 5^4 = 5^12

here the exponent rule of [ a^n * a^m = a^(n+m) ]

so if we substitute it in thew expression,

x= 5^12 divided by 5^4 = 5^12-4 [ rule used here : - [a^m/a^n = a^(m-n) ]

this gives us the value of 'x' as 8 thus gives the above answer...

Thanks.