How do you solve 5^(2x + 3)\leq 12552x+3125?

1 Answer
Mar 22, 2017

x<=0x0

Explanation:

We know that 5^3 = 12553=125. Since 5^(2x+3)52x+3 is less than or equal to 125125, this must mean 2x + 32x+3 is less than or equal to 33, as 2x+3 = 32x+3=3 would give 125125, and any power less than 33 would give a number less than 125125.

Now, we have an inequality to solve:

2x+3 <= 32x+33

2x <= 0 2x0

x <= 0x0

Therefore, we get the final answer to be x<=0x0.