Question

2^(x-4)+10=22

Answer 1

If we subtract 10 from both sides, the result is:
\[\large 2^{(x-4)}=12\ ......(1)\]
The first step in solving (1) is to take logs of both sides, remembering that:
\[\large \log_{} a ^{x}=x \log_{} a\]

Answer 2

@meg_72 Can you do this first step?

Answer 3

would it be x=7.5?

Answer 4

@meg_72 Is that an answer choice for the question?

Answer 5

i dont have answer choices for this one

Answer 6

Well how did you arrive at x = 7.5 ?

Answer 7

\[\large (x-4)\log2=\log12\ ......(2)\]
\[\large x-4=\frac{\log12}{\log2}=3.585\ .......(3)\]
Can you find the value of x from equation (3)?

Answer 8

@Probhat Try testing your proposed solution in the original equation.
Note: You are incorrect in your first step.