Pls help: 5 Given log10a=b, express 102b-3 in terms of a 6 Given log 10x=a, - Maths - Indices and Logarithms

Question

Pls help:

5 Given log10a=b, express 102b-3 in terms of
a

6 Given log 10x=a, log 10 y=b and
log10z=c,

i     Write   down   10 2 a - 3   in
  terms   of   x ii     Write   down
  10 3 b - 1   in   terms   of   y ( iii )
  If   log   10   P = 2 a + b 2 - 3 c ,  
express   P   in   terms   of   x ,  
y   and   z

Shobhit Mittal · Accepted Answer

solving 5log10a=ba=10bsquare both sidesa2=102bdivide the eqn by 1000a2103=102b103102b-3=a2103for different question post in new threads
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Pls help: 5. Given log10a=b, express 102b-3 in terms of a. 6. Given log 10x=a, log 10 y=b and log10z=c, i Write down 10 2 a - 3 in terms of x . ii Write down 10 3 b - 1 in terms of y . ( iii ) If log 10 P = 2 a + b 2 - 3 c , express P in terms of x , y and z .

Pls help:

5. Given log₁₀a=b, express 10^2b-3 in terms of a.

6. Given log ₁₀x=a, log ₁₀ y=b and log₁₀z=c,

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