Question
When solving the problem 6^x+3 = 6^2x-5, your friend does the following:
6(x) + 3 = 2(2x) - 5
6x + 3 = 12x - 5
8 = 6x
x = 4/3
Was this correct?
a. When the bases are the same, then we can set the exponents equal to each other and solve that equation.
b. The 6 needs to be distributed across all terms when solving.
c. Yes, this is correct. No error was made.
d. Both sides should be divided by 6 instead of multiplied by 6.
6(x) + 3 = 2(2x) - 5
6x + 3 = 12x - 5
8 = 6x
x = 4/3
Was this correct?
a. When the bases are the same, then we can set the exponents equal to each other and solve that equation.
b. The 6 needs to be distributed across all terms when solving.
c. Yes, this is correct. No error was made.
d. Both sides should be divided by 6 instead of multiplied by 6.
Answers
GPT 3.5
a. When the bases are the same, then we can set the exponents equal to each other and solve that equation.