15. Use a change of base formula (logia = to evaluate each logarithm. Give your

Question

15. Use a change of base formula (logia = to evaluate each logarithm. Give your answers rounded to four decimal places. a. logs(12) b. log 0 16. Solve the equations: 16. Solve the equation a. 3(52x) 3225 b. 312=10.16 17. Solve the logarithmic equations. a. 210gx-2 = log(x-25) b.log2x log25+ 3 18. Sales Decca At the end of an advertising campaign, weekly sales declined according to t equation y= 10,000(3-005) dollars, where x is the number of weeks after the campaign ended. 10,000(3-0.05x) dollars, where x is the number of weeks after the campaign e end of the ad campaign. (at x = 0)

Explanation / Answer

#(15)

#(a)   Given :

log3 (12)

we know that logb(a) = logd(a) / logd(b)

Here given b = 3 and a = 12

So, log3 (12) = ln(12) / ln(3)

= 2.48490 / 1.09861

= 2.2619                                 [ Answer ]

#(b)

Given :

log7(12)

we know that logb(a) = logd(a) / logd(b)

Here given b = 7 and a = 12

So, log7 (12) = ln(12) / ln(7)

= 2.4849 / 1.9459

= 1.2769                      [ Answer ]

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