Answer exactly: 4 ⋅ 1.1 x = 8.5I'm having a little trouble formatting the title, but I think it's understandable. It's my first question here, and I'll do what I can to use the MathJaX notation correctly. Also, English is not my primary language, but I'll do my best to get myself understood.I have the following equation: 4 ⋅ 1.1 x = 8.5They want the answer to be exact. Unfortunately I haven't been able to get further than this: x = log ⁡ 8.5 4 log ⁡ 1.1 I'm not even sure this is correct, but I think so. Anyone have a good idea how to get further? Maybe I need to start all over?

Question

Answer exactly:   4  ⋅      1.1    x    =  8.5I&#039;m having a little trouble formatting the title, but I think it&#039;s understandable. It&#039;s my first question here, and I&#039;ll do what I can to use the MathJaX notation correctly. Also, English is not my primary language, but I&#039;ll do my best to get myself understood.I have the following equation:  4  ⋅      1.1    x    =  8.5They want the answer to be exact. Unfortunately I haven&#039;t been able to get further than this:  x  =            log      ⁡              8.5        4                    log      ⁡      1.1      I&#039;m not even sure this is correct, but I think so. Anyone have a good idea how to get further? Maybe I need to start all over?

Miles Mueller · Accepted Answer

4        ×                  1.1          x                                    =        8.5                                      1.1          x                                    =                  8.5          4                                    x        log        ⁡        1.1                            =        log        ⁡                  (                      8.5            4                    )                                    x                            =                                            log              ⁡                              (                                  8.5                  4                                )                                                    log              ⁡              1.1                                                          x                            =                  log                      1.1                          ⁡                              (                          8.5              4                        )                              What you have done seems to be correct. The last step isn&#039;t necessary.