Question

please solve this question

with explaination please​

Answer 1

Answer:

1

Step-by-step explanation:

(125/8)^5 x (125/8)^x = ( 5/2 )^18

let the base are same

(5^3/2^3)^5 x ( 5^3/2^3)^x = (5/2)^18

then take the formula of SURDS AND INDICES

(m^2/n^2)^3

(m/n) ^2*^3

(m/n) ^6

(5/2)^15 x (5/2)^3x = (5/2)^18

then take all powers and solve to find X values

15 + 3x = 18

3x= 18-15

x= 3/3 = 1

x=1

Answer 2

Answer:

125/8 can be written as (5/2)^3

Step-by-step explanation:

rewriting the equation:

(5/2)^3^5 × (5/2)^3^x = (5/2)^18

now, using the exponential rule.,

the exponents can be multiplied ,

so the equation becomes:

(5/2)^15 × (5/2)^3x = (5/2) ^18

(5/2)^3x ={ (5/2)^18} /{ (5/2)^15}

(5/2)^3x= (5/2)^(18 -15)

(5/2)^3x= (5/2)^3

now by comparing the exponents.

we get,

3x = 3

x=1