solve the equation
5^5x+1=125
1. A 2. B 3. A 4. B 5. D 6. B
Just Did the test an got an 100%
I assume you mean
5^(5x+1), since 125 is 5^3.
so,
5x+1 = 3
x = 2/5
If you really meant 5^5x + 1 = 125, then
5^5x = 124
5x = log124/log5
x = log124/5log5
To solve the equation 5^(5x+1) = 125, we will follow these steps:
Step 1: Simplify the equation.
Rewriting 125 as 5^3, we get: 5^(5x+1) = 5^3.
Step 2: Apply the power rule.
Since the bases on both sides of the equation are equal, we can equate the exponents. Therefore, 5x + 1 = 3.
Step 3: Solve for x.
Subtracting 1 from both sides, we have: 5x = 3 - 1, which simplifies to 5x = 2.
Step 4: Divide by 5 on both sides to isolate x.
Dividing both sides by 5, we get: (5x)/5 = 2/5, resulting in x = 2/5.
Therefore, the solution to the equation 5^(5x+1) = 125 is x = 2/5.