Question

Jamie solves the following exponential equation algebraically. what is her mistake? if there is none please LMK!!!

Answer 1

See below

Explanation:

Consider the 4th step. It is true that 25 = 5 * 5, and thus is equivalent to 5^x, but doesn't necessarily mean that x = 5. Instead, you could rewrite 5^x = 25 as 5^x = 5^2, and with a similar base of 5, the exponents would have to be equal, and thus x = 2;

`6 * ( 5^x ) = 150,\\6 * ( 5 )^x / 6 = 150 / 6,\\5^x = 25,\\\\5^x = 5^2,\\x = 2\\\\Conclusion, x = 2`

Hope that helps!