S6 Maths & Stat Logarithmic Functions

kankanqa

1.  log2   (x-15) = 3+ log2   (x-1)


2. If log3  (2x+a) = 2, find x in terms of a.

3. Transform the following model to linear form:

        y=(a^m)(b^x)
     Given that x is the horizontal axis, explain what graph you will plot and what the slope and y-intercept are.

壺一v一

唔係好睇得明你打咩
可能應該
log轉ln 之後take多個e比佢

Naozumi

log2   (x-15) = 3+ log2   (x-1)
log2 (x - 15) - log2 (x-1) = 3
      log2 [(x - 15)/(x - 1)] = 3
                 (x - 15)/(x - 1) = 8
剩番果d手尾應該冇問題啦


log3  (2x+a) = 2
           2x + a = 9
剩番果d手尾應該冇問題啦

       y=(a^m)(b^x)
log y = log [(a^m)(b^x)]
log y = log a^m + log b^x
log y = m log a + x (log b)