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Syllabus

4

^{x-1}x (0.5)^{3-2x}= (1/8)^{-x}(8x^4) ^1/3?x^1/3

^{x}.3^{y}.5^{z}=2160 then find the value of x,y and z.5. Given log

_{10}a=b, express 10^{2b-3}in terms of a.6. Given log

_{10}x=a, log_{10}y=b and log_{10}z=c,$\left(\mathrm{i}\right)\mathrm{Write}\mathrm{down}{10}^{2\mathrm{a}-3}\mathrm{in}\mathrm{terms}\mathrm{of}\mathrm{x}.\phantom{\rule{0ex}{0ex}}\left(\mathrm{ii}\right)\mathrm{Write}\mathrm{down}{10}^{3\mathrm{b}-1}\mathrm{in}\mathrm{terms}\mathrm{of}\mathrm{y}.\phantom{\rule{0ex}{0ex}}\left(\mathrm{iii}\right)\mathrm{If}\mathrm{log}{}_{10}\mathrm{P}=2\mathrm{a}+\frac{\mathrm{b}}{2}-3\mathrm{c},\mathrm{express}\mathrm{P}\mathrm{in}\mathrm{terms}\mathrm{of}\mathrm{x},\mathrm{y}\mathrm{and}\mathrm{z}.$

(c) In figure (3) given below, ABCD is a rhombus. Find the value of x.

i) log 5 + log 20 + log 24 + log 25 – log 60

ii) log 6 + 2 log 5 + log 4 – log 3 – log 2

^{m+n}.y^{l},q=x^{n+l}.y^{m}and r=x^{l+m}.y^{n}prove that p^{m-n}.q^{n-l}.r^{l-m}=1^{1/3}+a^{-1/3})(a^{2/3}-1+a^{-2/3}) please solve_{pi }[log_{2}(log_{7}x)] = 0(i) $3\left({2}^{x}+1\right)-{2}^{x+2}+5=0$

Given log

_{10}x = 2a and log_{10}y = b/2,if log

_{10}P = 3a - 2b, express P in terms of x and y.Find the value of x

6. Given log

_{10}x=a, log_{10}y=b and log_{10}z=c,(i) Write down 10

^{2a-3}in terms of x.(ii) write down 10

^{3b-1}in terms of y.(iii) if ${\mathrm{log}}_{10}\mathrm{P}=2\mathrm{a}+\frac{\mathrm{b}}{2}-3\mathrm{c}$, express P in terms.