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?
No, your friend's solution is not correct. They made a mistake in the second step when distributing the 2 to both terms inside the parentheses. The correct equation should be:
6^(x+3) = 6^(2x-5)
This equation cannot be simplified further using basic algebraic operations.