How do you solve 252x+3=125x4?

1 Answer
Apr 1, 2018

x=9

Explanation:

First, you have to have the same bases. This means you have to get xn1=xn2. After that, you can set the exponential powers equal to each other. You can simplify 252x+3 into 52(2x+3). If you simplify that, you get 54x+6. Using the same logic to 125x4, you can simplify it to 53(x4) or 53x12. Now, since the bases are the same, you can set 4x+6 and 3x12 equal to each other. If you subtract 6 to the other side, and also subtracting 3x, you get x=9