Question

Solve 5 power3x+1 =25 powerx+2​

Answer 1

Answer:

The value of x is 3

Step-by-step explanation:

${5}^{3x + 1} = {25}^{x + 2}$

${5}^{3x + 1} = {5}^{2(x + 2)}$

${5}^{3x + 1} = {5}^{2x + 4}$

$3x + 1 = 2x + 4$

$3x - 2x = 4 - 1$

$x = 3$

Answer 2

question: 5^[3x+1]=25^[x+2]

ANSWER:

5^[3X+1]=5^2[x+2]. ( because 25=5^2)

and we are going to equate power because the base and number are equal

so we get

3x+1=2x+4

x=3