Question

Solve:

100^x=10^(2x+5)
​

Answer 1

1. Remove parentheses.
100^x = 10^2x+5

2. Convert both sides to the same base.
10^2x = 10^2x + 5

3. Cancel the base of 10 on both sides.
2x = 2x + 5

4. Cancel 2x on both sides.
0 = 5

5. Since 0 does not equal 5, the is no solution.

Answer: No solution

Answer 2

`100^x=10^(2x+5)\\100 = 10^2`

simplifies to

`10^(2x)=10^(2x+5)\\2x = 2x+5\\0=5`

no solution